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Finding the Fourth Proportional to 8,638.41, 12,957.69 and 5,695.70

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Solution

The fourth proportional to 8,638.41, 12,957.69 and 5,695.70 is: 8,543.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,638.41 : 12,957.69 = 5,695.70 : x
  2. Step 2: Convert to fraction form
    8,638.41/12,957.69 = 5,695.70/x
  3. Step 3: Cross multiply
    8,638.41x = 12,957.69 × 5,695.70
  4. Step 4: Simplify right side
    8,638.41x = 73,803,050.14
  5. Step 5: Solve for x
    x = 73,803,050.14/8,638.41
  6. Step 6: Final answer
    x = 8,543.59

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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.