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Finding the Fourth Proportional to 6,460.01, 9,689.99 and 4,268.21

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Solution

The fourth proportional to 6,460.01, 9,689.99 and 4,268.21 is: 6,402.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,460.01 : 9,689.99 = 4,268.21 : x
  2. Step 2: Convert to fraction form
    6,460.01/9,689.99 = 4,268.21/x
  3. Step 3: Cross multiply
    6,460.01x = 9,689.99 × 4,268.21
  4. Step 4: Simplify right side
    6,460.01x = 41,358,842.43
  5. Step 5: Solve for x
    x = 41,358,842.43/6,460.01
  6. Step 6: Final answer
    x = 6,402.29

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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.