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Finding the Fourth Proportional to 9,145.77, 12,613.26 and 5,957.86

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Solution

The fourth proportional to 9,145.77, 12,613.26 and 5,957.86 is: 8,216.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,145.77 : 12,613.26 = 5,957.86 : x
  2. Step 2: Convert to fraction form
    9,145.77/12,613.26 = 5,957.86/x
  3. Step 3: Cross multiply
    9,145.77x = 12,613.26 × 5,957.86
  4. Step 4: Simplify right side
    9,145.77x = 75,148,018.17
  5. Step 5: Solve for x
    x = 75,148,018.17/9,145.77
  6. Step 6: Final answer
    x = 8,216.70

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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.