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Finding the Fourth Proportional to 6,523.31, 9,002.28 and 3,870.65

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Solution

The fourth proportional to 6,523.31, 9,002.28 and 3,870.65 is: 5,341.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.31 : 9,002.28 = 3,870.65 : x
  2. Step 2: Convert to fraction form
    6,523.31/9,002.28 = 3,870.65/x
  3. Step 3: Cross multiply
    6,523.31x = 9,002.28 × 3,870.65
  4. Step 4: Simplify right side
    6,523.31x = 34,844,630.07
  5. Step 5: Solve for x
    x = 34,844,630.07/6,523.31
  6. Step 6: Final answer
    x = 5,341.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.