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Finding the Fourth Proportional to 6,480.28, 9,720.35 and 2,969.29

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Solution

The fourth proportional to 6,480.28, 9,720.35 and 2,969.29 is: 4,453.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,480.28 : 9,720.35 = 2,969.29 : x
  2. Step 2: Convert to fraction form
    6,480.28/9,720.35 = 2,969.29/x
  3. Step 3: Cross multiply
    6,480.28x = 9,720.35 × 2,969.29
  4. Step 4: Simplify right side
    6,480.28x = 28,862,521.17
  5. Step 5: Solve for x
    x = 28,862,521.17/6,480.28
  6. Step 6: Final answer
    x = 4,453.90

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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.