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Finding the Fourth Proportional to 6,259.76, 9,388.04 and 2,561.30

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Solution

The fourth proportional to 6,259.76, 9,388.04 and 2,561.30 is: 3,841.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,259.76 : 9,388.04 = 2,561.30 : x
  2. Step 2: Convert to fraction form
    6,259.76/9,388.04 = 2,561.30/x
  3. Step 3: Cross multiply
    6,259.76x = 9,388.04 × 2,561.30
  4. Step 4: Simplify right side
    6,259.76x = 24,045,527.11
  5. Step 5: Solve for x
    x = 24,045,527.11/6,259.76
  6. Step 6: Final answer
    x = 3,841.29

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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.