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Finding the Fourth Proportional to 9,200.53, 13,795.17 and 4,514.59

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Solution

The fourth proportional to 9,200.53, 13,795.17 and 4,514.59 is: 6,769.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.53 : 13,795.17 = 4,514.59 : x
  2. Step 2: Convert to fraction form
    9,200.53/13,795.17 = 4,514.59/x
  3. Step 3: Cross multiply
    9,200.53x = 13,795.17 × 4,514.59
  4. Step 4: Simplify right side
    9,200.53x = 62,279,536.53
  5. Step 5: Solve for x
    x = 62,279,536.53/9,200.53
  6. Step 6: Final answer
    x = 6,769.12

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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.