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Finding the Fourth Proportional to 6,688.49, 9,230.69 and 5,697.05

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Solution

The fourth proportional to 6,688.49, 9,230.69 and 5,697.05 is: 7,862.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,688.49 : 9,230.69 = 5,697.05 : x
  2. Step 2: Convert to fraction form
    6,688.49/9,230.69 = 5,697.05/x
  3. Step 3: Cross multiply
    6,688.49x = 9,230.69 × 5,697.05
  4. Step 4: Simplify right side
    6,688.49x = 52,587,670.55
  5. Step 5: Solve for x
    x = 52,587,670.55/6,688.49
  6. Step 6: Final answer
    x = 7,862.42

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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.