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Finding the Fourth Proportional to 9,726.67, 13,422.81 and 5,534.92

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Solution

The fourth proportional to 9,726.67, 13,422.81 and 5,534.92 is: 7,638.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,726.67 : 13,422.81 = 5,534.92 : x
  2. Step 2: Convert to fraction form
    9,726.67/13,422.81 = 5,534.92/x
  3. Step 3: Cross multiply
    9,726.67x = 13,422.81 × 5,534.92
  4. Step 4: Simplify right side
    9,726.67x = 74,294,179.53
  5. Step 5: Solve for x
    x = 74,294,179.53/9,726.67
  6. Step 6: Final answer
    x = 7,638.19

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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.