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Finding the Fourth Proportional to 7,134.90, 9,855.57 and 5,476.80

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Solution

The fourth proportional to 7,134.90, 9,855.57 and 5,476.80 is: 7,565.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,134.90 : 9,855.57 = 5,476.80 : x
  2. Step 2: Convert to fraction form
    7,134.90/9,855.57 = 5,476.80/x
  3. Step 3: Cross multiply
    7,134.90x = 9,855.57 × 5,476.80
  4. Step 4: Simplify right side
    7,134.90x = 53,976,936.50
  5. Step 5: Solve for x
    x = 53,976,936.50/7,134.90
  6. Step 6: Final answer
    x = 7,565.20

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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.