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Finding the Fourth Proportional to 9,384.56, 14,079.82 and 5,876.82

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Solution

The fourth proportional to 9,384.56, 14,079.82 and 5,876.82 is: 8,817.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384.56 : 14,079.82 = 5,876.82 : x
  2. Step 2: Convert to fraction form
    9,384.56/14,079.82 = 5,876.82/x
  3. Step 3: Cross multiply
    9,384.56x = 14,079.82 × 5,876.82
  4. Step 4: Simplify right side
    9,384.56x = 82,744,567.77
  5. Step 5: Solve for x
    x = 82,744,567.77/9,384.56
  6. Step 6: Final answer
    x = 8,817.10

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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.