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Finding the Fourth Proportional to 9,134.46, 13,701.65 and 2,208.96

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Solution

The fourth proportional to 9,134.46, 13,701.65 and 2,208.96 is: 3,313.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,134.46 : 13,701.65 = 2,208.96 : x
  2. Step 2: Convert to fraction form
    9,134.46/13,701.65 = 2,208.96/x
  3. Step 3: Cross multiply
    9,134.46x = 13,701.65 × 2,208.96
  4. Step 4: Simplify right side
    9,134.46x = 30,266,385.74
  5. Step 5: Solve for x
    x = 30,266,385.74/9,134.46
  6. Step 6: Final answer
    x = 3,313.43

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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.