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Finding the Fourth Proportional to 6,886.32, 10,333.80 and 6,443.52

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Solution

The fourth proportional to 6,886.32, 10,333.80 and 6,443.52 is: 9,669.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,886.32 : 10,333.80 = 6,443.52 : x
  2. Step 2: Convert to fraction form
    6,886.32/10,333.80 = 6,443.52/x
  3. Step 3: Cross multiply
    6,886.32x = 10,333.80 × 6,443.52
  4. Step 4: Simplify right side
    6,886.32x = 66,586,046.98
  5. Step 5: Solve for x
    x = 66,586,046.98/6,886.32
  6. Step 6: Final answer
    x = 9,669.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.