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Finding the Fourth Proportional to 6,427.34, 8,864.34 and 5,098.94

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Solution

The fourth proportional to 6,427.34, 8,864.34 and 5,098.94 is: 7,032.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,427.34 : 8,864.34 = 5,098.94 : x
  2. Step 2: Convert to fraction form
    6,427.34/8,864.34 = 5,098.94/x
  3. Step 3: Cross multiply
    6,427.34x = 8,864.34 × 5,098.94
  4. Step 4: Simplify right side
    6,427.34x = 45,198,737.80
  5. Step 5: Solve for x
    x = 45,198,737.80/6,427.34
  6. Step 6: Final answer
    x = 7,032.26

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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.