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Finding the Fourth Proportional to 9,149.28, 12,626.06 and 4,957.53

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Solution

The fourth proportional to 9,149.28, 12,626.06 and 4,957.53 is: 6,841.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,149.28 : 12,626.06 = 4,957.53 : x
  2. Step 2: Convert to fraction form
    9,149.28/12,626.06 = 4,957.53/x
  3. Step 3: Cross multiply
    9,149.28x = 12,626.06 × 4,957.53
  4. Step 4: Simplify right side
    9,149.28x = 62,594,071.23
  5. Step 5: Solve for x
    x = 62,594,071.23/9,149.28
  6. Step 6: Final answer
    x = 6,841.42

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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.