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Finding the Fourth Proportional to 9,126.61, 12,594.72 and 5,147.71

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Solution

The fourth proportional to 9,126.61, 12,594.72 and 5,147.71 is: 7,103.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,126.61 : 12,594.72 = 5,147.71 : x
  2. Step 2: Convert to fraction form
    9,126.61/12,594.72 = 5,147.71/x
  3. Step 3: Cross multiply
    9,126.61x = 12,594.72 × 5,147.71
  4. Step 4: Simplify right side
    9,126.61x = 64,833,966.09
  5. Step 5: Solve for x
    x = 64,833,966.09/9,126.61
  6. Step 6: Final answer
    x = 7,103.84

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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.