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Finding the Fourth Proportional to 9,343.72, 12,896.58 and 5,617

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Solution

The fourth proportional to 9,343.72, 12,896.58 and 5,617 is: 7,752.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,343.72 : 12,896.58 = 5,617 : x
  2. Step 2: Convert to fraction form
    9,343.72/12,896.58 = 5,617/x
  3. Step 3: Cross multiply
    9,343.72x = 12,896.58 × 5,617
  4. Step 4: Simplify right side
    9,343.72x = 72,440,089.86
  5. Step 5: Solve for x
    x = 72,440,089.86/9,343.72
  6. Step 6: Final answer
    x = 7,752.81

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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.