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Finding the Fourth Proportional to 6,531.64, 9,012.61 and 4,012.94

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Solution

The fourth proportional to 6,531.64, 9,012.61 and 4,012.94 is: 5,537.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,531.64 : 9,012.61 = 4,012.94 : x
  2. Step 2: Convert to fraction form
    6,531.64/9,012.61 = 4,012.94/x
  3. Step 3: Cross multiply
    6,531.64x = 9,012.61 × 4,012.94
  4. Step 4: Simplify right side
    6,531.64x = 36,167,063.17
  5. Step 5: Solve for x
    x = 36,167,063.17/6,531.64
  6. Step 6: Final answer
    x = 5,537.21

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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.