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Finding the Fourth Proportional to 7,234.38, 9,987.84 and 4,969.35

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Solution

The fourth proportional to 7,234.38, 9,987.84 and 4,969.35 is: 6,860.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.38 : 9,987.84 = 4,969.35 : x
  2. Step 2: Convert to fraction form
    7,234.38/9,987.84 = 4,969.35/x
  3. Step 3: Cross multiply
    7,234.38x = 9,987.84 × 4,969.35
  4. Step 4: Simplify right side
    7,234.38x = 49,633,072.70
  5. Step 5: Solve for x
    x = 49,633,072.70/7,234.38
  6. Step 6: Final answer
    x = 6,860.72

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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.