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Finding the Fourth Proportional to 9,580.92, 14,371.42 and 2,917.50

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Solution

The fourth proportional to 9,580.92, 14,371.42 and 2,917.50 is: 4,376.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,580.92 : 14,371.42 = 2,917.50 : x
  2. Step 2: Convert to fraction form
    9,580.92/14,371.42 = 2,917.50/x
  3. Step 3: Cross multiply
    9,580.92x = 14,371.42 × 2,917.50
  4. Step 4: Simplify right side
    9,580.92x = 41,928,617.85
  5. Step 5: Solve for x
    x = 41,928,617.85/9,580.92
  6. Step 6: Final answer
    x = 4,376.26

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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.