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Finding the Fourth Proportional to 9,147.86, 12,624.03 and 4,956.11

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Solution

The fourth proportional to 9,147.86, 12,624.03 and 4,956.11 is: 6,839.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,147.86 : 12,624.03 = 4,956.11 : x
  2. Step 2: Convert to fraction form
    9,147.86/12,624.03 = 4,956.11/x
  3. Step 3: Cross multiply
    9,147.86x = 12,624.03 × 4,956.11
  4. Step 4: Simplify right side
    9,147.86x = 62,566,018.20
  5. Step 5: Solve for x
    x = 62,566,018.20/9,147.86
  6. Step 6: Final answer
    x = 6,839.42

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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.