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Finding the Fourth Proportional to 9,947.64, 14,892.66 and 7,492.80

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Solution

The fourth proportional to 9,947.64, 14,892.66 and 7,492.80 is: 11,217.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,947.64 : 14,892.66 = 7,492.80 : x
  2. Step 2: Convert to fraction form
    9,947.64/14,892.66 = 7,492.80/x
  3. Step 3: Cross multiply
    9,947.64x = 14,892.66 × 7,492.80
  4. Step 4: Simplify right side
    9,947.64x = 111,587,722.85
  5. Step 5: Solve for x
    x = 111,587,722.85/9,947.64
  6. Step 6: Final answer
    x = 11,217.51

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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.