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Finding the Fourth Proportional to 6,306.09, 8,696.73 and 3,948.45

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Solution

The fourth proportional to 6,306.09, 8,696.73 and 3,948.45 is: 5,445.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306.09 : 8,696.73 = 3,948.45 : x
  2. Step 2: Convert to fraction form
    6,306.09/8,696.73 = 3,948.45/x
  3. Step 3: Cross multiply
    6,306.09x = 8,696.73 × 3,948.45
  4. Step 4: Simplify right side
    6,306.09x = 34,338,603.57
  5. Step 5: Solve for x
    x = 34,338,603.57/6,306.09
  6. Step 6: Final answer
    x = 5,445.31

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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.