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Finding the Fourth Proportional to 6,886.98, 9,504.32 and 3,902.78

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Solution

The fourth proportional to 6,886.98, 9,504.32 and 3,902.78 is: 5,386.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,886.98 : 9,504.32 = 3,902.78 : x
  2. Step 2: Convert to fraction form
    6,886.98/9,504.32 = 3,902.78/x
  3. Step 3: Cross multiply
    6,886.98x = 9,504.32 × 3,902.78
  4. Step 4: Simplify right side
    6,886.98x = 37,093,274.26
  5. Step 5: Solve for x
    x = 37,093,274.26/6,886.98
  6. Step 6: Final answer
    x = 5,386.00

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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.