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Finding the Fourth Proportional to 9,637.23, 13,248.26 and 8,287.87

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Solution

The fourth proportional to 9,637.23, 13,248.26 and 8,287.87 is: 11,393.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,637.23 : 13,248.26 = 8,287.87 : x
  2. Step 2: Convert to fraction form
    9,637.23/13,248.26 = 8,287.87/x
  3. Step 3: Cross multiply
    9,637.23x = 13,248.26 × 8,287.87
  4. Step 4: Simplify right side
    9,637.23x = 109,799,837.97
  5. Step 5: Solve for x
    x = 109,799,837.97/9,637.23
  6. Step 6: Final answer
    x = 11,393.30

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.