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Finding the Fourth Proportional to 9,773.70, 14,660.55 and 9,428.10

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Solution

The fourth proportional to 9,773.70, 14,660.55 and 9,428.10 is: 14,142.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,773.70 : 14,660.55 = 9,428.10 : x
  2. Step 2: Convert to fraction form
    9,773.70/14,660.55 = 9,428.10/x
  3. Step 3: Cross multiply
    9,773.70x = 14,660.55 × 9,428.10
  4. Step 4: Simplify right side
    9,773.70x = 138,221,131.46
  5. Step 5: Solve for x
    x = 138,221,131.46/9,773.70
  6. Step 6: Final answer
    x = 14,142.15

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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.