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Finding the Fourth Proportional to 6,480.84, 9,718.17 and 3,514.55

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Solution

The fourth proportional to 6,480.84, 9,718.17 and 3,514.55 is: 5,270.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,480.84 : 9,718.17 = 3,514.55 : x
  2. Step 2: Convert to fraction form
    6,480.84/9,718.17 = 3,514.55/x
  3. Step 3: Cross multiply
    6,480.84x = 9,718.17 × 3,514.55
  4. Step 4: Simplify right side
    6,480.84x = 34,154,945.78
  5. Step 5: Solve for x
    x = 34,154,945.78/6,480.84
  6. Step 6: Final answer
    x = 5,270.14

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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.