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Finding the Fourth Proportional to 27,819.32, 41,720.34 and 9,347

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Solution

The fourth proportional to 27,819.32, 41,720.34 and 9,347 is: 14,017.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,819.32 : 41,720.34 = 9,347 : x
  2. Step 2: Convert to fraction form
    27,819.32/41,720.34 = 9,347/x
  3. Step 3: Cross multiply
    27,819.32x = 41,720.34 × 9,347
  4. Step 4: Simplify right side
    27,819.32x = 389,960,017.98
  5. Step 5: Solve for x
    x = 389,960,017.98/27,819.32
  6. Step 6: Final answer
    x = 14,017.60

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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.