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Finding the Fourth Proportional to 9,514.48, 13,129.71 and 5,265.71

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Solution

The fourth proportional to 9,514.48, 13,129.71 and 5,265.71 is: 7,266.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,514.48 : 13,129.71 = 5,265.71 : x
  2. Step 2: Convert to fraction form
    9,514.48/13,129.71 = 5,265.71/x
  3. Step 3: Cross multiply
    9,514.48x = 13,129.71 × 5,265.71
  4. Step 4: Simplify right side
    9,514.48x = 69,137,245.24
  5. Step 5: Solve for x
    x = 69,137,245.24/9,514.48
  6. Step 6: Final answer
    x = 7,266.53

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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.