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Finding the Fourth Proportional to 9,381.47, 14,065.20 and 3,137.78

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Solution

The fourth proportional to 9,381.47, 14,065.20 and 3,137.78 is: 4,704.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,381.47 : 14,065.20 = 3,137.78 : x
  2. Step 2: Convert to fraction form
    9,381.47/14,065.20 = 3,137.78/x
  3. Step 3: Cross multiply
    9,381.47x = 14,065.20 × 3,137.78
  4. Step 4: Simplify right side
    9,381.47x = 44,133,503.26
  5. Step 5: Solve for x
    x = 44,133,503.26/9,381.47
  6. Step 6: Final answer
    x = 4,704.33

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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.