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Finding the Fourth Proportional to 9,665.88, 14,494.72 and 3,427.46

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Solution

The fourth proportional to 9,665.88, 14,494.72 and 3,427.46 is: 5,139.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,665.88 : 14,494.72 = 3,427.46 : x
  2. Step 2: Convert to fraction form
    9,665.88/14,494.72 = 3,427.46/x
  3. Step 3: Cross multiply
    9,665.88x = 14,494.72 × 3,427.46
  4. Step 4: Simplify right side
    9,665.88x = 49,679,983.40
  5. Step 5: Solve for x
    x = 49,679,983.40/9,665.88
  6. Step 6: Final answer
    x = 5,139.73

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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.