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Finding the Fourth Proportional to 9,206.74, 13,800.18 and 4,521.30

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Solution

The fourth proportional to 9,206.74, 13,800.18 and 4,521.30 is: 6,777.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206.74 : 13,800.18 = 4,521.30 : x
  2. Step 2: Convert to fraction form
    9,206.74/13,800.18 = 4,521.30/x
  3. Step 3: Cross multiply
    9,206.74x = 13,800.18 × 4,521.30
  4. Step 4: Simplify right side
    9,206.74x = 62,394,753.83
  5. Step 5: Solve for x
    x = 62,394,753.83/9,206.74
  6. Step 6: Final answer
    x = 6,777.07

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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.