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Finding the Fourth Proportional to 6,509.89, 9,751.02 and 3,002.77

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Solution

The fourth proportional to 6,509.89, 9,751.02 and 3,002.77 is: 4,497.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.89 : 9,751.02 = 3,002.77 : x
  2. Step 2: Convert to fraction form
    6,509.89/9,751.02 = 3,002.77/x
  3. Step 3: Cross multiply
    6,509.89x = 9,751.02 × 3,002.77
  4. Step 4: Simplify right side
    6,509.89x = 29,280,070.33
  5. Step 5: Solve for x
    x = 29,280,070.33/6,509.89
  6. Step 6: Final answer
    x = 4,497.78

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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.