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Finding the Fourth Proportional to 9,910.32, 14,856.84 and 3,750

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Solution

The fourth proportional to 9,910.32, 14,856.84 and 3,750 is: 5,621.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,910.32 : 14,856.84 = 3,750 : x
  2. Step 2: Convert to fraction form
    9,910.32/14,856.84 = 3,750/x
  3. Step 3: Cross multiply
    9,910.32x = 14,856.84 × 3,750
  4. Step 4: Simplify right side
    9,910.32x = 55,713,150
  5. Step 5: Solve for x
    x = 55,713,150/9,910.32
  6. Step 6: Final answer
    x = 5,621.73

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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.