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Finding the Fourth Proportional to 6,886.94, 9,503.88 and 3,743.06

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Solution

The fourth proportional to 6,886.94, 9,503.88 and 3,743.06 is: 5,165.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,886.94 : 9,503.88 = 3,743.06 : x
  2. Step 2: Convert to fraction form
    6,886.94/9,503.88 = 3,743.06/x
  3. Step 3: Cross multiply
    6,886.94x = 9,503.88 × 3,743.06
  4. Step 4: Simplify right side
    6,886.94x = 35,573,593.07
  5. Step 5: Solve for x
    x = 35,573,593.07/6,886.94
  6. Step 6: Final answer
    x = 5,165.37

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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.