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Finding the Fourth Proportional to 6,886.47, 9,500.22 and 4,232.91

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Solution

The fourth proportional to 6,886.47, 9,500.22 and 4,232.91 is: 5,839.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,886.47 : 9,500.22 = 4,232.91 : x
  2. Step 2: Convert to fraction form
    6,886.47/9,500.22 = 4,232.91/x
  3. Step 3: Cross multiply
    6,886.47x = 9,500.22 × 4,232.91
  4. Step 4: Simplify right side
    6,886.47x = 40,213,576.24
  5. Step 5: Solve for x
    x = 40,213,576.24/6,886.47
  6. Step 6: Final answer
    x = 5,839.51

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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.