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Finding the Fourth Proportional to 9,175.74, 13,763.61 and 3,981.50

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Solution

The fourth proportional to 9,175.74, 13,763.61 and 3,981.50 is: 5,972.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,175.74 : 13,763.61 = 3,981.50 : x
  2. Step 2: Convert to fraction form
    9,175.74/13,763.61 = 3,981.50/x
  3. Step 3: Cross multiply
    9,175.74x = 13,763.61 × 3,981.50
  4. Step 4: Simplify right side
    9,175.74x = 54,799,813.22
  5. Step 5: Solve for x
    x = 54,799,813.22/9,175.74
  6. Step 6: Final answer
    x = 5,972.25

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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.