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Finding the Fourth Proportional to 9,793.90, 14,700.45 and 4,869.10

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Solution

The fourth proportional to 9,793.90, 14,700.45 and 4,869.10 is: 7,308.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793.90 : 14,700.45 = 4,869.10 : x
  2. Step 2: Convert to fraction form
    9,793.90/14,700.45 = 4,869.10/x
  3. Step 3: Cross multiply
    9,793.90x = 14,700.45 × 4,869.10
  4. Step 4: Simplify right side
    9,793.90x = 71,577,961.10
  5. Step 5: Solve for x
    x = 71,577,961.10/9,793.90
  6. Step 6: Final answer
    x = 7,308.42

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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.