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Finding the Fourth Proportional to 9,926.72, 14,890.08 and 7,737.10

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Solution

The fourth proportional to 9,926.72, 14,890.08 and 7,737.10 is: 11,605.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,926.72 : 14,890.08 = 7,737.10 : x
  2. Step 2: Convert to fraction form
    9,926.72/14,890.08 = 7,737.10/x
  3. Step 3: Cross multiply
    9,926.72x = 14,890.08 × 7,737.10
  4. Step 4: Simplify right side
    9,926.72x = 115,206,037.97
  5. Step 5: Solve for x
    x = 115,206,037.97/9,926.72
  6. Step 6: Final answer
    x = 11,605.65

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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.