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Finding the Fourth Proportional to 6,876.29, 9,482.67 and 4,358.81

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Solution

The fourth proportional to 6,876.29, 9,482.67 and 4,358.81 is: 6,010.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876.29 : 9,482.67 = 4,358.81 : x
  2. Step 2: Convert to fraction form
    6,876.29/9,482.67 = 4,358.81/x
  3. Step 3: Cross multiply
    6,876.29x = 9,482.67 × 4,358.81
  4. Step 4: Simplify right side
    6,876.29x = 41,333,180.53
  5. Step 5: Solve for x
    x = 41,333,180.53/6,876.29
  6. Step 6: Final answer
    x = 6,010.97

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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.