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Finding the Fourth Proportional to 6,328.32, 9,449.28 and 5,665.92

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Solution

The fourth proportional to 6,328.32, 9,449.28 and 5,665.92 is: 8,460.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,328.32 : 9,449.28 = 5,665.92 : x
  2. Step 2: Convert to fraction form
    6,328.32/9,449.28 = 5,665.92/x
  3. Step 3: Cross multiply
    6,328.32x = 9,449.28 × 5,665.92
  4. Step 4: Simplify right side
    6,328.32x = 53,538,864.54
  5. Step 5: Solve for x
    x = 53,538,864.54/6,328.32
  6. Step 6: Final answer
    x = 8,460.20

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.