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Finding the Fourth Proportional to 6,265.06, 9,397.85 and 3,509.29

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Solution

The fourth proportional to 6,265.06, 9,397.85 and 3,509.29 is: 5,264.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,265.06 : 9,397.85 = 3,509.29 : x
  2. Step 2: Convert to fraction form
    6,265.06/9,397.85 = 3,509.29/x
  3. Step 3: Cross multiply
    6,265.06x = 9,397.85 × 3,509.29
  4. Step 4: Simplify right side
    6,265.06x = 32,979,775.23
  5. Step 5: Solve for x
    x = 32,979,775.23/6,265.06
  6. Step 6: Final answer
    x = 5,264.08

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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.