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Finding the Fourth Proportional to 9,785.28, 14,678.64 and 5,404.80

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Solution

The fourth proportional to 9,785.28, 14,678.64 and 5,404.80 is: 8,107.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,785.28 : 14,678.64 = 5,404.80 : x
  2. Step 2: Convert to fraction form
    9,785.28/14,678.64 = 5,404.80/x
  3. Step 3: Cross multiply
    9,785.28x = 14,678.64 × 5,404.80
  4. Step 4: Simplify right side
    9,785.28x = 79,335,113.47
  5. Step 5: Solve for x
    x = 79,335,113.47/9,785.28
  6. Step 6: Final answer
    x = 8,107.60

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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.