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Finding the Fourth Proportional to 6,275.33, 9,412.98 and 3,464.03

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Solution

The fourth proportional to 6,275.33, 9,412.98 and 3,464.03 is: 5,196.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,275.33 : 9,412.98 = 3,464.03 : x
  2. Step 2: Convert to fraction form
    6,275.33/9,412.98 = 3,464.03/x
  3. Step 3: Cross multiply
    6,275.33x = 9,412.98 × 3,464.03
  4. Step 4: Simplify right side
    6,275.33x = 32,606,845.11
  5. Step 5: Solve for x
    x = 32,606,845.11/6,275.33
  6. Step 6: Final answer
    x = 5,196.04

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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.