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Finding the Fourth Proportional to 9,517.46, 14,277.56 and 2,944.16

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Solution

The fourth proportional to 9,517.46, 14,277.56 and 2,944.16 is: 4,416.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,517.46 : 14,277.56 = 2,944.16 : x
  2. Step 2: Convert to fraction form
    9,517.46/14,277.56 = 2,944.16/x
  3. Step 3: Cross multiply
    9,517.46x = 14,277.56 × 2,944.16
  4. Step 4: Simplify right side
    9,517.46x = 42,035,423.05
  5. Step 5: Solve for x
    x = 42,035,423.05/9,517.46
  6. Step 6: Final answer
    x = 4,416.66

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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.