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Finding the Fourth Proportional to 6,266.73, 9,403.16 and 4,429.65

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Solution

The fourth proportional to 6,266.73, 9,403.16 and 4,429.65 is: 6,646.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,266.73 : 9,403.16 = 4,429.65 : x
  2. Step 2: Convert to fraction form
    6,266.73/9,403.16 = 4,429.65/x
  3. Step 3: Cross multiply
    6,266.73x = 9,403.16 × 4,429.65
  4. Step 4: Simplify right side
    6,266.73x = 41,652,720.81
  5. Step 5: Solve for x
    x = 41,652,720.81/6,266.73
  6. Step 6: Final answer
    x = 6,646.64

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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.