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Finding the Fourth Proportional to 8,933.72, 12,326.46 and 6,143

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Solution

The fourth proportional to 8,933.72, 12,326.46 and 6,143 is: 8,475.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,933.72 : 12,326.46 = 6,143 : x
  2. Step 2: Convert to fraction form
    8,933.72/12,326.46 = 6,143/x
  3. Step 3: Cross multiply
    8,933.72x = 12,326.46 × 6,143
  4. Step 4: Simplify right side
    8,933.72x = 75,721,443.78
  5. Step 5: Solve for x
    x = 75,721,443.78/8,933.72
  6. Step 6: Final answer
    x = 8,475.91

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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.