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Finding the Fourth Proportional to 9,601.71, 14,390.07 and 4,917.75

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Solution

The fourth proportional to 9,601.71, 14,390.07 and 4,917.75 is: 7,370.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,601.71 : 14,390.07 = 4,917.75 : x
  2. Step 2: Convert to fraction form
    9,601.71/14,390.07 = 4,917.75/x
  3. Step 3: Cross multiply
    9,601.71x = 14,390.07 × 4,917.75
  4. Step 4: Simplify right side
    9,601.71x = 70,766,766.74
  5. Step 5: Solve for x
    x = 70,766,766.74/9,601.71
  6. Step 6: Final answer
    x = 7,370.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.