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Finding the Fourth Proportional to 6,996.89, 9,655.95 and 3,810.24

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Solution

The fourth proportional to 6,996.89, 9,655.95 and 3,810.24 is: 5,258.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,996.89 : 9,655.95 = 3,810.24 : x
  2. Step 2: Convert to fraction form
    6,996.89/9,655.95 = 3,810.24/x
  3. Step 3: Cross multiply
    6,996.89x = 9,655.95 × 3,810.24
  4. Step 4: Simplify right side
    6,996.89x = 36,791,531.24
  5. Step 5: Solve for x
    x = 36,791,531.24/6,996.89
  6. Step 6: Final answer
    x = 5,258.27

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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.