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Finding the Fourth Proportional to 9,154.17, 12,632.72 and 4,962.42

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Solution

The fourth proportional to 9,154.17, 12,632.72 and 4,962.42 is: 6,848.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,154.17 : 12,632.72 = 4,962.42 : x
  2. Step 2: Convert to fraction form
    9,154.17/12,632.72 = 4,962.42/x
  3. Step 3: Cross multiply
    9,154.17x = 12,632.72 × 4,962.42
  4. Step 4: Simplify right side
    9,154.17x = 62,688,837.57
  5. Step 5: Solve for x
    x = 62,688,837.57/9,154.17
  6. Step 6: Final answer
    x = 6,848.12

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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.