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Finding the Fourth Proportional to 9,138.15, 12,616.51 and 7,463.58

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Solution

The fourth proportional to 9,138.15, 12,616.51 and 7,463.58 is: 10,304.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.15 : 12,616.51 = 7,463.58 : x
  2. Step 2: Convert to fraction form
    9,138.15/12,616.51 = 7,463.58/x
  3. Step 3: Cross multiply
    9,138.15x = 12,616.51 × 7,463.58
  4. Step 4: Simplify right side
    9,138.15x = 94,164,279.73
  5. Step 5: Solve for x
    x = 94,164,279.73/9,138.15
  6. Step 6: Final answer
    x = 10,304.52

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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.