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Finding the Fourth Proportional to 8,931.72, 12,323.70 and 6,141

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Solution

The fourth proportional to 8,931.72, 12,323.70 and 6,141 is: 8,473.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,931.72 : 12,323.70 = 6,141 : x
  2. Step 2: Convert to fraction form
    8,931.72/12,323.70 = 6,141/x
  3. Step 3: Cross multiply
    8,931.72x = 12,323.70 × 6,141
  4. Step 4: Simplify right side
    8,931.72x = 75,679,841.70
  5. Step 5: Solve for x
    x = 75,679,841.70/8,931.72
  6. Step 6: Final answer
    x = 8,473.15

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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.