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Finding the Fourth Proportional to 9,380.81, 12,951.42 and 6,024.98

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Solution

The fourth proportional to 9,380.81, 12,951.42 and 6,024.98 is: 8,318.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,380.81 : 12,951.42 = 6,024.98 : x
  2. Step 2: Convert to fraction form
    9,380.81/12,951.42 = 6,024.98/x
  3. Step 3: Cross multiply
    9,380.81x = 12,951.42 × 6,024.98
  4. Step 4: Simplify right side
    9,380.81x = 78,032,046.47
  5. Step 5: Solve for x
    x = 78,032,046.47/9,380.81
  6. Step 6: Final answer
    x = 8,318.26

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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.