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Finding the Fourth Proportional to 6,689.32, 9,232.34 and 4,037.12

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Solution

The fourth proportional to 6,689.32, 9,232.34 and 4,037.12 is: 5,571.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,689.32 : 9,232.34 = 4,037.12 : x
  2. Step 2: Convert to fraction form
    6,689.32/9,232.34 = 4,037.12/x
  3. Step 3: Cross multiply
    6,689.32x = 9,232.34 × 4,037.12
  4. Step 4: Simplify right side
    6,689.32x = 37,272,064.46
  5. Step 5: Solve for x
    x = 37,272,064.46/6,689.32
  6. Step 6: Final answer
    x = 5,571.88

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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.