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Finding the Fourth Proportional to 9,899.38, 13,661.15 and 5,423.15

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Solution

The fourth proportional to 9,899.38, 13,661.15 and 5,423.15 is: 7,483.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,899.38 : 13,661.15 = 5,423.15 : x
  2. Step 2: Convert to fraction form
    9,899.38/13,661.15 = 5,423.15/x
  3. Step 3: Cross multiply
    9,899.38x = 13,661.15 × 5,423.15
  4. Step 4: Simplify right side
    9,899.38x = 74,086,465.62
  5. Step 5: Solve for x
    x = 74,086,465.62/9,899.38
  6. Step 6: Final answer
    x = 7,483.95

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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.