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Finding the Fourth Proportional to 9,588.66, 14,378.87 and 3,346.80

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Solution

The fourth proportional to 9,588.66, 14,378.87 and 3,346.80 is: 5,018.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,588.66 : 14,378.87 = 3,346.80 : x
  2. Step 2: Convert to fraction form
    9,588.66/14,378.87 = 3,346.80/x
  3. Step 3: Cross multiply
    9,588.66x = 14,378.87 × 3,346.80
  4. Step 4: Simplify right side
    9,588.66x = 48,123,185.38
  5. Step 5: Solve for x
    x = 48,123,185.38/9,588.66
  6. Step 6: Final answer
    x = 5,018.76

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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.