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Finding the Fourth Proportional to 9,292.47, 13,916.84 and 7,331.46

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Solution

The fourth proportional to 9,292.47, 13,916.84 and 7,331.46 is: 10,979.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,292.47 : 13,916.84 = 7,331.46 : x
  2. Step 2: Convert to fraction form
    9,292.47/13,916.84 = 7,331.46/x
  3. Step 3: Cross multiply
    9,292.47x = 13,916.84 × 7,331.46
  4. Step 4: Simplify right side
    9,292.47x = 102,030,719.13
  5. Step 5: Solve for x
    x = 102,030,719.13/9,292.47
  6. Step 6: Final answer
    x = 10,979.94

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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.