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Finding the Fourth Proportional to 9,025.92, 12,451.68 and 5,488.32

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Solution

The fourth proportional to 9,025.92, 12,451.68 and 5,488.32 is: 7,571.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,025.92 : 12,451.68 = 5,488.32 : x
  2. Step 2: Convert to fraction form
    9,025.92/12,451.68 = 5,488.32/x
  3. Step 3: Cross multiply
    9,025.92x = 12,451.68 × 5,488.32
  4. Step 4: Simplify right side
    9,025.92x = 68,338,804.38
  5. Step 5: Solve for x
    x = 68,338,804.38/9,025.92
  6. Step 6: Final answer
    x = 7,571.39

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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.