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Finding the Fourth Proportional to 6,531.02, 9,012.73 and 3,546.90

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Solution

The fourth proportional to 6,531.02, 9,012.73 and 3,546.90 is: 4,894.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,531.02 : 9,012.73 = 3,546.90 : x
  2. Step 2: Convert to fraction form
    6,531.02/9,012.73 = 3,546.90/x
  3. Step 3: Cross multiply
    6,531.02x = 9,012.73 × 3,546.90
  4. Step 4: Simplify right side
    6,531.02x = 31,967,252.04
  5. Step 5: Solve for x
    x = 31,967,252.04/6,531.02
  6. Step 6: Final answer
    x = 4,894.68

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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.