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Finding the Fourth Proportional to 9,514.65, 13,128.12 and 5,978.55

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Solution

The fourth proportional to 9,514.65, 13,128.12 and 5,978.55 is: 8,249.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,514.65 : 13,128.12 = 5,978.55 : x
  2. Step 2: Convert to fraction form
    9,514.65/13,128.12 = 5,978.55/x
  3. Step 3: Cross multiply
    9,514.65x = 13,128.12 × 5,978.55
  4. Step 4: Simplify right side
    9,514.65x = 78,487,121.83
  5. Step 5: Solve for x
    x = 78,487,121.83/9,514.65
  6. Step 6: Final answer
    x = 8,249.08

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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.