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Finding the Fourth Proportional to 9,707.86, 14,576.38 and 5,552.56

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Solution

The fourth proportional to 9,707.86, 14,576.38 and 5,552.56 is: 8,337.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,707.86 : 14,576.38 = 5,552.56 : x
  2. Step 2: Convert to fraction form
    9,707.86/14,576.38 = 5,552.56/x
  3. Step 3: Cross multiply
    9,707.86x = 14,576.38 × 5,552.56
  4. Step 4: Simplify right side
    9,707.86x = 80,936,228.87
  5. Step 5: Solve for x
    x = 80,936,228.87/9,707.86
  6. Step 6: Final answer
    x = 8,337.18

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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.