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Finding the Fourth Proportional to 6,402.96, 9,608.76 and 2,506.88

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Solution

The fourth proportional to 6,402.96, 9,608.76 and 2,506.88 is: 3,762.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402.96 : 9,608.76 = 2,506.88 : x
  2. Step 2: Convert to fraction form
    6,402.96/9,608.76 = 2,506.88/x
  3. Step 3: Cross multiply
    6,402.96x = 9,608.76 × 2,506.88
  4. Step 4: Simplify right side
    6,402.96x = 24,088,008.27
  5. Step 5: Solve for x
    x = 24,088,008.27/6,402.96
  6. Step 6: Final answer
    x = 3,762.01

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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.