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Finding the Fourth Proportional to 6,880.24, 9,491.28 and 4,639.28

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Solution

The fourth proportional to 6,880.24, 9,491.28 and 4,639.28 is: 6,399.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,880.24 : 9,491.28 = 4,639.28 : x
  2. Step 2: Convert to fraction form
    6,880.24/9,491.28 = 4,639.28/x
  3. Step 3: Cross multiply
    6,880.24x = 9,491.28 × 4,639.28
  4. Step 4: Simplify right side
    6,880.24x = 44,032,705.48
  5. Step 5: Solve for x
    x = 44,032,705.48/6,880.24
  6. Step 6: Final answer
    x = 6,399.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.