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Finding the Fourth Proportional to 6,886.97, 9,503.82 and 3,903.08

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Solution

The fourth proportional to 6,886.97, 9,503.82 and 3,903.08 is: 5,386.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,886.97 : 9,503.82 = 3,903.08 : x
  2. Step 2: Convert to fraction form
    6,886.97/9,503.82 = 3,903.08/x
  3. Step 3: Cross multiply
    6,886.97x = 9,503.82 × 3,903.08
  4. Step 4: Simplify right side
    6,886.97x = 37,094,203.28
  5. Step 5: Solve for x
    x = 37,094,203.28/6,886.97
  6. Step 6: Final answer
    x = 5,386.14

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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.