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Finding the Fourth Proportional to 9,158.81, 12,639.20 and 4,967.06

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Solution

The fourth proportional to 9,158.81, 12,639.20 and 4,967.06 is: 6,854.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,158.81 : 12,639.20 = 4,967.06 : x
  2. Step 2: Convert to fraction form
    9,158.81/12,639.20 = 4,967.06/x
  3. Step 3: Cross multiply
    9,158.81x = 12,639.20 × 4,967.06
  4. Step 4: Simplify right side
    9,158.81x = 62,779,576.72
  5. Step 5: Solve for x
    x = 62,779,576.72/9,158.81
  6. Step 6: Final answer
    x = 6,854.56

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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.