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Finding the Fourth Proportional to 9,580.50, 14,372.91 and 2,917.59

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Solution

The fourth proportional to 9,580.50, 14,372.91 and 2,917.59 is: 4,377.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,580.50 : 14,372.91 = 2,917.59 : x
  2. Step 2: Convert to fraction form
    9,580.50/14,372.91 = 2,917.59/x
  3. Step 3: Cross multiply
    9,580.50x = 14,372.91 × 2,917.59
  4. Step 4: Simplify right side
    9,580.50x = 41,934,294.42
  5. Step 5: Solve for x
    x = 41,934,294.42/9,580.50
  6. Step 6: Final answer
    x = 4,377.05

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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.