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Finding the Fourth Proportional to 9,158.29, 12,638.43 and 4,966.54

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Solution

The fourth proportional to 9,158.29, 12,638.43 and 4,966.54 is: 6,853.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,158.29 : 12,638.43 = 4,966.54 : x
  2. Step 2: Convert to fraction form
    9,158.29/12,638.43 = 4,966.54/x
  3. Step 3: Cross multiply
    9,158.29x = 12,638.43 × 4,966.54
  4. Step 4: Simplify right side
    9,158.29x = 62,769,268.13
  5. Step 5: Solve for x
    x = 62,769,268.13/9,158.29
  6. Step 6: Final answer
    x = 6,853.82

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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.