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Finding the Fourth Proportional to 9,125.92, 13,704.52 and 5,636.58

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Solution

The fourth proportional to 9,125.92, 13,704.52 and 5,636.58 is: 8,464.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,125.92 : 13,704.52 = 5,636.58 : x
  2. Step 2: Convert to fraction form
    9,125.92/13,704.52 = 5,636.58/x
  3. Step 3: Cross multiply
    9,125.92x = 13,704.52 × 5,636.58
  4. Step 4: Simplify right side
    9,125.92x = 77,246,623.34
  5. Step 5: Solve for x
    x = 77,246,623.34/9,125.92
  6. Step 6: Final answer
    x = 8,464.53

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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.