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Finding the Fourth Proportional to 10,428.68, 15,651.78 and 9,771.86

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Solution

The fourth proportional to 10,428.68, 15,651.78 and 9,771.86 is: 14,666.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,428.68 : 15,651.78 = 9,771.86 : x
  2. Step 2: Convert to fraction form
    10,428.68/15,651.78 = 9,771.86/x
  3. Step 3: Cross multiply
    10,428.68x = 15,651.78 × 9,771.86
  4. Step 4: Simplify right side
    10,428.68x = 152,947,002.91
  5. Step 5: Solve for x
    x = 152,947,002.91/10,428.68
  6. Step 6: Final answer
    x = 14,666.00

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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.