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Finding the Fourth Proportional to 13,993.31, 19,277.92 and 9,737.06

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Solution

The fourth proportional to 13,993.31, 19,277.92 and 9,737.06 is: 13,414.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,993.31 : 19,277.92 = 9,737.06 : x
  2. Step 2: Convert to fraction form
    13,993.31/19,277.92 = 9,737.06/x
  3. Step 3: Cross multiply
    13,993.31x = 19,277.92 × 9,737.06
  4. Step 4: Simplify right side
    13,993.31x = 187,710,360.23
  5. Step 5: Solve for x
    x = 187,710,360.23/13,993.31
  6. Step 6: Final answer
    x = 13,414.29

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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.