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Finding the Fourth Proportional to 6,663.34, 9,128.61 and 6,414.06

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Solution

The fourth proportional to 6,663.34, 9,128.61 and 6,414.06 is: 8,787.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,663.34 : 9,128.61 = 6,414.06 : x
  2. Step 2: Convert to fraction form
    6,663.34/9,128.61 = 6,414.06/x
  3. Step 3: Cross multiply
    6,663.34x = 9,128.61 × 6,414.06
  4. Step 4: Simplify right side
    6,663.34x = 58,551,452.26
  5. Step 5: Solve for x
    x = 58,551,452.26/6,663.34
  6. Step 6: Final answer
    x = 8,787.10

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.