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Finding the Fourth Proportional to 6,428.32, 9,642.48 and 2,268.65

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Solution

The fourth proportional to 6,428.32, 9,642.48 and 2,268.65 is: 3,402.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,428.32 : 9,642.48 = 2,268.65 : x
  2. Step 2: Convert to fraction form
    6,428.32/9,642.48 = 2,268.65/x
  3. Step 3: Cross multiply
    6,428.32x = 9,642.48 × 2,268.65
  4. Step 4: Simplify right side
    6,428.32x = 21,875,412.25
  5. Step 5: Solve for x
    x = 21,875,412.25/6,428.32
  6. Step 6: Final answer
    x = 3,402.98

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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.