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Finding the Fourth Proportional to 9,148.17, 12,624.48 and 4,956.42

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Solution

The fourth proportional to 9,148.17, 12,624.48 and 4,956.42 is: 6,839.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,148.17 : 12,624.48 = 4,956.42 : x
  2. Step 2: Convert to fraction form
    9,148.17/12,624.48 = 4,956.42/x
  3. Step 3: Cross multiply
    9,148.17x = 12,624.48 × 4,956.42
  4. Step 4: Simplify right side
    9,148.17x = 62,572,272.50
  5. Step 5: Solve for x
    x = 62,572,272.50/9,148.17
  6. Step 6: Final answer
    x = 6,839.86

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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.