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Finding the Fourth Proportional to 9,642.38, 14,464.87 and 3,400.93

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Solution

The fourth proportional to 9,642.38, 14,464.87 and 3,400.93 is: 5,101.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.38 : 14,464.87 = 3,400.93 : x
  2. Step 2: Convert to fraction form
    9,642.38/14,464.87 = 3,400.93/x
  3. Step 3: Cross multiply
    9,642.38x = 14,464.87 × 3,400.93
  4. Step 4: Simplify right side
    9,642.38x = 49,193,965.66
  5. Step 5: Solve for x
    x = 49,193,965.66/9,642.38
  6. Step 6: Final answer
    x = 5,101.85

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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.