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Finding the Fourth Proportional to 9,127.17, 12,583.98 and 7,446.87

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Solution

The fourth proportional to 9,127.17, 12,583.98 and 7,446.87 is: 10,267.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,127.17 : 12,583.98 = 7,446.87 : x
  2. Step 2: Convert to fraction form
    9,127.17/12,583.98 = 7,446.87/x
  3. Step 3: Cross multiply
    9,127.17x = 12,583.98 × 7,446.87
  4. Step 4: Simplify right side
    9,127.17x = 93,711,263.14
  5. Step 5: Solve for x
    x = 93,711,263.14/9,127.17
  6. Step 6: Final answer
    x = 10,267.29

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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.