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Finding the Fourth Proportional to 7,122.39, 9,829.08 and 3,978.78

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Solution

The fourth proportional to 7,122.39, 9,829.08 and 3,978.78 is: 5,490.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122.39 : 9,829.08 = 3,978.78 : x
  2. Step 2: Convert to fraction form
    7,122.39/9,829.08 = 3,978.78/x
  3. Step 3: Cross multiply
    7,122.39x = 9,829.08 × 3,978.78
  4. Step 4: Simplify right side
    7,122.39x = 39,107,746.92
  5. Step 5: Solve for x
    x = 39,107,746.92/7,122.39
  6. Step 6: Final answer
    x = 5,490.82

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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.