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Finding the Fourth Proportional to 6,985.68, 9,637.26 and 5,918.90

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Solution

The fourth proportional to 6,985.68, 9,637.26 and 5,918.90 is: 8,165.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,985.68 : 9,637.26 = 5,918.90 : x
  2. Step 2: Convert to fraction form
    6,985.68/9,637.26 = 5,918.90/x
  3. Step 3: Cross multiply
    6,985.68x = 9,637.26 × 5,918.90
  4. Step 4: Simplify right side
    6,985.68x = 57,041,978.21
  5. Step 5: Solve for x
    x = 57,041,978.21/6,985.68
  6. Step 6: Final answer
    x = 8,165.56

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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.