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Finding the Fourth Proportional to 10,331.70, 15,497.55 and 9,770.10

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Solution

The fourth proportional to 10,331.70, 15,497.55 and 9,770.10 is: 14,655.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,331.70 : 15,497.55 = 9,770.10 : x
  2. Step 2: Convert to fraction form
    10,331.70/15,497.55 = 9,770.10/x
  3. Step 3: Cross multiply
    10,331.70x = 15,497.55 × 9,770.10
  4. Step 4: Simplify right side
    10,331.70x = 151,412,613.26
  5. Step 5: Solve for x
    x = 151,412,613.26/10,331.70
  6. Step 6: Final answer
    x = 14,655.15

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