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Finding the Fourth Proportional to 6,509.39, 9,764.69 and 2,127.29

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Solution

The fourth proportional to 6,509.39, 9,764.69 and 2,127.29 is: 3,191.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.39 : 9,764.69 = 2,127.29 : x
  2. Step 2: Convert to fraction form
    6,509.39/9,764.69 = 2,127.29/x
  3. Step 3: Cross multiply
    6,509.39x = 9,764.69 × 2,127.29
  4. Step 4: Simplify right side
    6,509.39x = 20,772,267.93
  5. Step 5: Solve for x
    x = 20,772,267.93/6,509.39
  6. Step 6: Final answer
    x = 3,191.13

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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.