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Finding the Fourth Proportional to 10,381.37, 15,549.98 and 9,637.79

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Solution

The fourth proportional to 10,381.37, 15,549.98 and 9,637.79 is: 14,436.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,381.37 : 15,549.98 = 9,637.79 : x
  2. Step 2: Convert to fraction form
    10,381.37/15,549.98 = 9,637.79/x
  3. Step 3: Cross multiply
    10,381.37x = 15,549.98 × 9,637.79
  4. Step 4: Simplify right side
    10,381.37x = 149,867,315.81
  5. Step 5: Solve for x
    x = 149,867,315.81/10,381.37
  6. Step 6: Final answer
    x = 14,436.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.