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Finding the Fourth Proportional to 9,537.17, 13,166.24 and 7,407.92

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Solution

The fourth proportional to 9,537.17, 13,166.24 and 7,407.92 is: 10,226.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,537.17 : 13,166.24 = 7,407.92 : x
  2. Step 2: Convert to fraction form
    9,537.17/13,166.24 = 7,407.92/x
  3. Step 3: Cross multiply
    9,537.17x = 13,166.24 × 7,407.92
  4. Step 4: Simplify right side
    9,537.17x = 97,534,448.50
  5. Step 5: Solve for x
    x = 97,534,448.50/9,537.17
  6. Step 6: Final answer
    x = 10,226.78

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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.