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Finding the Fourth Proportional to 9,517.56, 14,277.68 and 2,944.32

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Solution

The fourth proportional to 9,517.56, 14,277.68 and 2,944.32 is: 4,416.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,517.56 : 14,277.68 = 2,944.32 : x
  2. Step 2: Convert to fraction form
    9,517.56/14,277.68 = 2,944.32/x
  3. Step 3: Cross multiply
    9,517.56x = 14,277.68 × 2,944.32
  4. Step 4: Simplify right side
    9,517.56x = 42,038,058.78
  5. Step 5: Solve for x
    x = 42,038,058.78/9,517.56
  6. Step 6: Final answer
    x = 4,416.89

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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.