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Finding the Fourth Proportional to 8,497.58, 12,737.60 and 6,151.77

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Solution

The fourth proportional to 8,497.58, 12,737.60 and 6,151.77 is: 9,221.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,497.58 : 12,737.60 = 6,151.77 : x
  2. Step 2: Convert to fraction form
    8,497.58/12,737.60 = 6,151.77/x
  3. Step 3: Cross multiply
    8,497.58x = 12,737.60 × 6,151.77
  4. Step 4: Simplify right side
    8,497.58x = 78,358,721.86
  5. Step 5: Solve for x
    x = 78,358,721.86/8,497.58
  6. Step 6: Final answer
    x = 9,221.30

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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.