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Finding the Fourth Proportional to 9,486,686.14, 14,229,978.10 and 2,298,216.40

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Solution

The fourth proportional to 9,486,686.14, 14,229,978.10 and 2,298,216.40 is: 3,447,312.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,486,686.14 : 14,229,978.10 = 2,298,216.40 : x
  2. Step 2: Convert to fraction form
    9,486,686.14/14,229,978.10 = 2,298,216.40/x
  3. Step 3: Cross multiply
    9,486,686.14x = 14,229,978.10 × 2,298,216.40
  4. Step 4: Simplify right side
    9,486,686.14x = 32,703,569,041,060.84
  5. Step 5: Solve for x
    x = 32,703,569,041,060.84/9,486,686.14
  6. Step 6: Final answer
    x = 3,447,312.22

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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.