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Finding the Fourth Proportional to 6,547.28, 9,825.24 and 3,471.44

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Solution

The fourth proportional to 6,547.28, 9,825.24 and 3,471.44 is: 5,209.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.28 : 9,825.24 = 3,471.44 : x
  2. Step 2: Convert to fraction form
    6,547.28/9,825.24 = 3,471.44/x
  3. Step 3: Cross multiply
    6,547.28x = 9,825.24 × 3,471.44
  4. Step 4: Simplify right side
    6,547.28x = 34,107,731.15
  5. Step 5: Solve for x
    x = 34,107,731.15/6,547.28
  6. Step 6: Final answer
    x = 5,209.45

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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.