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Finding the Fourth Proportional to 6,748.22, 9,291.36 and 5,737.94

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Solution

The fourth proportional to 6,748.22, 9,291.36 and 5,737.94 is: 7,900.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,748.22 : 9,291.36 = 5,737.94 : x
  2. Step 2: Convert to fraction form
    6,748.22/9,291.36 = 5,737.94/x
  3. Step 3: Cross multiply
    6,748.22x = 9,291.36 × 5,737.94
  4. Step 4: Simplify right side
    6,748.22x = 53,313,266.20
  5. Step 5: Solve for x
    x = 53,313,266.20/6,748.22
  6. Step 6: Final answer
    x = 7,900.35

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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.