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Finding the Fourth Proportional to 6,802.79, 9,381.32 and 4,113.48

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Solution

The fourth proportional to 6,802.79, 9,381.32 and 4,113.48 is: 5,672.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802.79 : 9,381.32 = 4,113.48 : x
  2. Step 2: Convert to fraction form
    6,802.79/9,381.32 = 4,113.48/x
  3. Step 3: Cross multiply
    6,802.79x = 9,381.32 × 4,113.48
  4. Step 4: Simplify right side
    6,802.79x = 38,589,902.23
  5. Step 5: Solve for x
    x = 38,589,902.23/6,802.79
  6. Step 6: Final answer
    x = 5,672.66

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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.