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Finding the Fourth Proportional to 9,457.86, 13,052.29 and 5,481.17

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Solution

The fourth proportional to 9,457.86, 13,052.29 and 5,481.17 is: 7,564.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,457.86 : 13,052.29 = 5,481.17 : x
  2. Step 2: Convert to fraction form
    9,457.86/13,052.29 = 5,481.17/x
  3. Step 3: Cross multiply
    9,457.86x = 13,052.29 × 5,481.17
  4. Step 4: Simplify right side
    9,457.86x = 71,541,800.64
  5. Step 5: Solve for x
    x = 71,541,800.64/9,457.86
  6. Step 6: Final answer
    x = 7,564.27

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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.