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Finding the Fourth Proportional to 9,134.56, 13,701.72 and 2,209

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Solution

The fourth proportional to 9,134.56, 13,701.72 and 2,209 is: 3,313.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,134.56 : 13,701.72 = 2,209 : x
  2. Step 2: Convert to fraction form
    9,134.56/13,701.72 = 2,209/x
  3. Step 3: Cross multiply
    9,134.56x = 13,701.72 × 2,209
  4. Step 4: Simplify right side
    9,134.56x = 30,267,099.48
  5. Step 5: Solve for x
    x = 30,267,099.48/9,134.56
  6. Step 6: Final answer
    x = 3,313.47

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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.