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Finding the Fourth Proportional to 9,034.46, 12,468.90 and 5,259.86

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Solution

The fourth proportional to 9,034.46, 12,468.90 and 5,259.86 is: 7,259.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,034.46 : 12,468.90 = 5,259.86 : x
  2. Step 2: Convert to fraction form
    9,034.46/12,468.90 = 5,259.86/x
  3. Step 3: Cross multiply
    9,034.46x = 12,468.90 × 5,259.86
  4. Step 4: Simplify right side
    9,034.46x = 65,584,668.35
  5. Step 5: Solve for x
    x = 65,584,668.35/9,034.46
  6. Step 6: Final answer
    x = 7,259.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.