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Finding the Fourth Proportional to 6,900.38, 9,521.21 and 4,382.90

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Solution

The fourth proportional to 6,900.38, 9,521.21 and 4,382.90 is: 6,047.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,900.38 : 9,521.21 = 4,382.90 : x
  2. Step 2: Convert to fraction form
    6,900.38/9,521.21 = 4,382.90/x
  3. Step 3: Cross multiply
    6,900.38x = 9,521.21 × 4,382.90
  4. Step 4: Simplify right side
    6,900.38x = 41,730,511.31
  5. Step 5: Solve for x
    x = 41,730,511.31/6,900.38
  6. Step 6: Final answer
    x = 6,047.57

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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.