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Finding the Fourth Proportional to 9,347.50, 14,023.27 and 2,774.15

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Solution

The fourth proportional to 9,347.50, 14,023.27 and 2,774.15 is: 4,161.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,347.50 : 14,023.27 = 2,774.15 : x
  2. Step 2: Convert to fraction form
    9,347.50/14,023.27 = 2,774.15/x
  3. Step 3: Cross multiply
    9,347.50x = 14,023.27 × 2,774.15
  4. Step 4: Simplify right side
    9,347.50x = 38,902,584.35
  5. Step 5: Solve for x
    x = 38,902,584.35/9,347.50
  6. Step 6: Final answer
    x = 4,161.82

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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.