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Finding the Fourth Proportional to 6,693.68, 9,969.76 and 6,342.32

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Solution

The fourth proportional to 6,693.68, 9,969.76 and 6,342.32 is: 9,446.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,693.68 : 9,969.76 = 6,342.32 : x
  2. Step 2: Convert to fraction form
    6,693.68/9,969.76 = 6,342.32/x
  3. Step 3: Cross multiply
    6,693.68x = 9,969.76 × 6,342.32
  4. Step 4: Simplify right side
    6,693.68x = 63,231,408.24
  5. Step 5: Solve for x
    x = 63,231,408.24/6,693.68
  6. Step 6: Final answer
    x = 9,446.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.