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Finding the Fourth Proportional to 9,986.38, 13,780.20 and 5,510.32

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Solution

The fourth proportional to 9,986.38, 13,780.20 and 5,510.32 is: 7,603.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,986.38 : 13,780.20 = 5,510.32 : x
  2. Step 2: Convert to fraction form
    9,986.38/13,780.20 = 5,510.32/x
  3. Step 3: Cross multiply
    9,986.38x = 13,780.20 × 5,510.32
  4. Step 4: Simplify right side
    9,986.38x = 75,933,311.66
  5. Step 5: Solve for x
    x = 75,933,311.66/9,986.38
  6. Step 6: Final answer
    x = 7,603.69

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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.