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Finding the Fourth Proportional to 9,399.74, 12,980.92 and 7,407.14

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Solution

The fourth proportional to 9,399.74, 12,980.92 and 7,407.14 is: 10,229.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,399.74 : 12,980.92 = 7,407.14 : x
  2. Step 2: Convert to fraction form
    9,399.74/12,980.92 = 7,407.14/x
  3. Step 3: Cross multiply
    9,399.74x = 12,980.92 × 7,407.14
  4. Step 4: Simplify right side
    9,399.74x = 96,151,491.77
  5. Step 5: Solve for x
    x = 96,151,491.77/9,399.74
  6. Step 6: Final answer
    x = 10,229.17

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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.