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Finding the Fourth Proportional to 9,250.32, 13,876.05 and 3,411

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Solution

The fourth proportional to 9,250.32, 13,876.05 and 3,411 is: 5,116.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,250.32 : 13,876.05 = 3,411 : x
  2. Step 2: Convert to fraction form
    9,250.32/13,876.05 = 3,411/x
  3. Step 3: Cross multiply
    9,250.32x = 13,876.05 × 3,411
  4. Step 4: Simplify right side
    9,250.32x = 47,331,206.55
  5. Step 5: Solve for x
    x = 47,331,206.55/9,250.32
  6. Step 6: Final answer
    x = 5,116.71

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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.