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Finding the Fourth Proportional to 9,730,652.20, 14,595,978.30 and 6,147,471.40

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Solution

The fourth proportional to 9,730,652.20, 14,595,978.30 and 6,147,471.40 is: 9,221,207.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,730,652.20 : 14,595,978.30 = 6,147,471.40 : x
  2. Step 2: Convert to fraction form
    9,730,652.20/14,595,978.30 = 6,147,471.40/x
  3. Step 3: Cross multiply
    9,730,652.20x = 14,595,978.30 × 6,147,471.40
  4. Step 4: Simplify right side
    9,730,652.20x = 89,728,359,154,270.62
  5. Step 5: Solve for x
    x = 89,728,359,154,270.62/9,730,652.20
  6. Step 6: Final answer
    x = 9,221,207.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.