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Finding the Fourth Proportional to 9,204.74, 13,797.18 and 4,519.30

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Solution

The fourth proportional to 9,204.74, 13,797.18 and 4,519.30 is: 6,774.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,204.74 : 13,797.18 = 4,519.30 : x
  2. Step 2: Convert to fraction form
    9,204.74/13,797.18 = 4,519.30/x
  3. Step 3: Cross multiply
    9,204.74x = 13,797.18 × 4,519.30
  4. Step 4: Simplify right side
    9,204.74x = 62,353,595.57
  5. Step 5: Solve for x
    x = 62,353,595.57/9,204.74
  6. Step 6: Final answer
    x = 6,774.07

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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.