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Finding the Fourth Proportional to 9,177.60, 13,767.84 and 5,484

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Solution

The fourth proportional to 9,177.60, 13,767.84 and 5,484 is: 8,226.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,177.60 : 13,767.84 = 5,484 : x
  2. Step 2: Convert to fraction form
    9,177.60/13,767.84 = 5,484/x
  3. Step 3: Cross multiply
    9,177.60x = 13,767.84 × 5,484
  4. Step 4: Simplify right side
    9,177.60x = 75,502,834.56
  5. Step 5: Solve for x
    x = 75,502,834.56/9,177.60
  6. Step 6: Final answer
    x = 8,226.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.