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Finding the Fourth Proportional to 6,693.84, 9,233.76 and 4,176.36

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Solution

The fourth proportional to 6,693.84, 9,233.76 and 4,176.36 is: 5,761.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,693.84 : 9,233.76 = 4,176.36 : x
  2. Step 2: Convert to fraction form
    6,693.84/9,233.76 = 4,176.36/x
  3. Step 3: Cross multiply
    6,693.84x = 9,233.76 × 4,176.36
  4. Step 4: Simplify right side
    6,693.84x = 38,563,505.91
  5. Step 5: Solve for x
    x = 38,563,505.91/6,693.84
  6. Step 6: Final answer
    x = 5,761.04

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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.