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Finding the Fourth Proportional to 6,340.32, 9,506.43 and 2,645.10

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Solution

The fourth proportional to 6,340.32, 9,506.43 and 2,645.10 is: 3,965.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,340.32 : 9,506.43 = 2,645.10 : x
  2. Step 2: Convert to fraction form
    6,340.32/9,506.43 = 2,645.10/x
  3. Step 3: Cross multiply
    6,340.32x = 9,506.43 × 2,645.10
  4. Step 4: Simplify right side
    6,340.32x = 25,145,457.99
  5. Step 5: Solve for x
    x = 25,145,457.99/6,340.32
  6. Step 6: Final answer
    x = 3,965.96

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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.