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Finding the Fourth Proportional to 9,660.80, 14,484.72 and 3,814.40

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Solution

The fourth proportional to 9,660.80, 14,484.72 and 3,814.40 is: 5,719.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,660.80 : 14,484.72 = 3,814.40 : x
  2. Step 2: Convert to fraction form
    9,660.80/14,484.72 = 3,814.40/x
  3. Step 3: Cross multiply
    9,660.80x = 14,484.72 × 3,814.40
  4. Step 4: Simplify right side
    9,660.80x = 55,250,515.97
  5. Step 5: Solve for x
    x = 55,250,515.97/9,660.80
  6. Step 6: Final answer
    x = 5,719.04

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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.