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Finding the Fourth Proportional to 6,412.79, 9,599.13 and 4,158.29

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Solution

The fourth proportional to 6,412.79, 9,599.13 and 4,158.29 is: 6,224.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.79 : 9,599.13 = 4,158.29 : x
  2. Step 2: Convert to fraction form
    6,412.79/9,599.13 = 4,158.29/x
  3. Step 3: Cross multiply
    6,412.79x = 9,599.13 × 4,158.29
  4. Step 4: Simplify right side
    6,412.79x = 39,915,966.29
  5. Step 5: Solve for x
    x = 39,915,966.29/6,412.79
  6. Step 6: Final answer
    x = 6,224.43

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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.