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Finding the Fourth Proportional to 6,531.14, 9,011.92 and 4,012.44

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Solution

The fourth proportional to 6,531.14, 9,011.92 and 4,012.44 is: 5,536.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,531.14 : 9,011.92 = 4,012.44 : x
  2. Step 2: Convert to fraction form
    6,531.14/9,011.92 = 4,012.44/x
  3. Step 3: Cross multiply
    6,531.14x = 9,011.92 × 4,012.44
  4. Step 4: Simplify right side
    6,531.14x = 36,159,788.28
  5. Step 5: Solve for x
    x = 36,159,788.28/6,531.14
  6. Step 6: Final answer
    x = 5,536.52

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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.