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Finding the Fourth Proportional to 9,128.47, 12,597.38 and 5,353.87

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Solution

The fourth proportional to 9,128.47, 12,597.38 and 5,353.87 is: 7,388.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,128.47 : 12,597.38 = 5,353.87 : x
  2. Step 2: Convert to fraction form
    9,128.47/12,597.38 = 5,353.87/x
  3. Step 3: Cross multiply
    9,128.47x = 12,597.38 × 5,353.87
  4. Step 4: Simplify right side
    9,128.47x = 67,444,734.86
  5. Step 5: Solve for x
    x = 67,444,734.86/9,128.47
  6. Step 6: Final answer
    x = 7,388.39

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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.