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Finding the Fourth Proportional to 9,109.77, 12,545.02 and 7,914.21

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Solution

The fourth proportional to 9,109.77, 12,545.02 and 7,914.21 is: 10,898.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,109.77 : 12,545.02 = 7,914.21 : x
  2. Step 2: Convert to fraction form
    9,109.77/12,545.02 = 7,914.21/x
  3. Step 3: Cross multiply
    9,109.77x = 12,545.02 × 7,914.21
  4. Step 4: Simplify right side
    9,109.77x = 99,283,959.89
  5. Step 5: Solve for x
    x = 99,283,959.89/9,109.77
  6. Step 6: Final answer
    x = 10,898.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.