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Finding the Fourth Proportional to 9,209, 13,827.34 and 5,527.70

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Solution

The fourth proportional to 9,209, 13,827.34 and 5,527.70 is: 8,299.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,209 : 13,827.34 = 5,527.70 : x
  2. Step 2: Convert to fraction form
    9,209/13,827.34 = 5,527.70/x
  3. Step 3: Cross multiply
    9,209x = 13,827.34 × 5,527.70
  4. Step 4: Simplify right side
    9,209x = 76,433,387.32
  5. Step 5: Solve for x
    x = 76,433,387.32/9,209
  6. Step 6: Final answer
    x = 8,299.86

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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.