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Finding the Fourth Proportional to 6,613.68, 9,124.80 and 4,514.16

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Solution

The fourth proportional to 6,613.68, 9,124.80 and 4,514.16 is: 6,228.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,613.68 : 9,124.80 = 4,514.16 : x
  2. Step 2: Convert to fraction form
    6,613.68/9,124.80 = 4,514.16/x
  3. Step 3: Cross multiply
    6,613.68x = 9,124.80 × 4,514.16
  4. Step 4: Simplify right side
    6,613.68x = 41,190,807.17
  5. Step 5: Solve for x
    x = 41,190,807.17/6,613.68
  6. Step 6: Final answer
    x = 6,228.12

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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.