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Finding the Fourth Proportional to 9,514.86, 13,126.03 and 6,329.71

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Solution

The fourth proportional to 9,514.86, 13,126.03 and 6,329.71 is: 8,732.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,514.86 : 13,126.03 = 6,329.71 : x
  2. Step 2: Convert to fraction form
    9,514.86/13,126.03 = 6,329.71/x
  3. Step 3: Cross multiply
    9,514.86x = 13,126.03 × 6,329.71
  4. Step 4: Simplify right side
    9,514.86x = 83,083,963.35
  5. Step 5: Solve for x
    x = 83,083,963.35/9,514.86
  6. Step 6: Final answer
    x = 8,732.02

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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.