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Finding the Fourth Proportional to 6,117.20, 9,175.80 and 5,502.80

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Solution

The fourth proportional to 6,117.20, 9,175.80 and 5,502.80 is: 8,254.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,117.20 : 9,175.80 = 5,502.80 : x
  2. Step 2: Convert to fraction form
    6,117.20/9,175.80 = 5,502.80/x
  3. Step 3: Cross multiply
    6,117.20x = 9,175.80 × 5,502.80
  4. Step 4: Simplify right side
    6,117.20x = 50,492,592.24
  5. Step 5: Solve for x
    x = 50,492,592.24/6,117.20
  6. Step 6: Final answer
    x = 8,254.20

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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.