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Finding the Fourth Proportional to 6,438.38, 9,655.52 and 2,054.81

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Solution

The fourth proportional to 6,438.38, 9,655.52 and 2,054.81 is: 3,081.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.38 : 9,655.52 = 2,054.81 : x
  2. Step 2: Convert to fraction form
    6,438.38/9,655.52 = 2,054.81/x
  3. Step 3: Cross multiply
    6,438.38x = 9,655.52 × 2,054.81
  4. Step 4: Simplify right side
    6,438.38x = 19,840,272.92
  5. Step 5: Solve for x
    x = 19,840,272.92/6,438.38
  6. Step 6: Final answer
    x = 3,081.57

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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.