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Finding the Fourth Proportional to 6,283.46, 9,428.44 and 3,508.40

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Solution

The fourth proportional to 6,283.46, 9,428.44 and 3,508.40 is: 5,264.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,283.46 : 9,428.44 = 3,508.40 : x
  2. Step 2: Convert to fraction form
    6,283.46/9,428.44 = 3,508.40/x
  3. Step 3: Cross multiply
    6,283.46x = 9,428.44 × 3,508.40
  4. Step 4: Simplify right side
    6,283.46x = 33,078,738.90
  5. Step 5: Solve for x
    x = 33,078,738.90/6,283.46
  6. Step 6: Final answer
    x = 5,264.41

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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.