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Finding the Fourth Proportional to 6,768.52, 9,343.14 and 4,411.24

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Solution

The fourth proportional to 6,768.52, 9,343.14 and 4,411.24 is: 6,089.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,768.52 : 9,343.14 = 4,411.24 : x
  2. Step 2: Convert to fraction form
    6,768.52/9,343.14 = 4,411.24/x
  3. Step 3: Cross multiply
    6,768.52x = 9,343.14 × 4,411.24
  4. Step 4: Simplify right side
    6,768.52x = 41,214,832.89
  5. Step 5: Solve for x
    x = 41,214,832.89/6,768.52
  6. Step 6: Final answer
    x = 6,089.19

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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.