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Finding the Fourth Proportional to 9,441.60, 14,217.28 and 6,993.76

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Solution

The fourth proportional to 9,441.60, 14,217.28 and 6,993.76 is: 10,531.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,441.60 : 14,217.28 = 6,993.76 : x
  2. Step 2: Convert to fraction form
    9,441.60/14,217.28 = 6,993.76/x
  3. Step 3: Cross multiply
    9,441.60x = 14,217.28 × 6,993.76
  4. Step 4: Simplify right side
    9,441.60x = 99,432,244.17
  5. Step 5: Solve for x
    x = 99,432,244.17/9,441.60
  6. Step 6: Final answer
    x = 10,531.29

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.