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Finding the Fourth Proportional to 6,510.29, 9,765.03 and 2,809.92

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Solution

The fourth proportional to 6,510.29, 9,765.03 and 2,809.92 is: 4,214.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,510.29 : 9,765.03 = 2,809.92 : x
  2. Step 2: Convert to fraction form
    6,510.29/9,765.03 = 2,809.92/x
  3. Step 3: Cross multiply
    6,510.29x = 9,765.03 × 2,809.92
  4. Step 4: Simplify right side
    6,510.29x = 27,438,953.10
  5. Step 5: Solve for x
    x = 27,438,953.10/6,510.29
  6. Step 6: Final answer
    x = 4,214.71

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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.