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Finding the Fourth Proportional to 9,003.38, 12,419.15 and 5,978.63

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Solution

The fourth proportional to 9,003.38, 12,419.15 and 5,978.63 is: 8,246.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,003.38 : 12,419.15 = 5,978.63 : x
  2. Step 2: Convert to fraction form
    9,003.38/12,419.15 = 5,978.63/x
  3. Step 3: Cross multiply
    9,003.38x = 12,419.15 × 5,978.63
  4. Step 4: Simplify right side
    9,003.38x = 74,249,503.92
  5. Step 5: Solve for x
    x = 74,249,503.92/9,003.38
  6. Step 6: Final answer
    x = 8,246.85

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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.