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Finding the Fourth Proportional to 6,501.28, 9,751.92 and 2,341.84

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Solution

The fourth proportional to 6,501.28, 9,751.92 and 2,341.84 is: 3,512.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,501.28 : 9,751.92 = 2,341.84 : x
  2. Step 2: Convert to fraction form
    6,501.28/9,751.92 = 2,341.84/x
  3. Step 3: Cross multiply
    6,501.28x = 9,751.92 × 2,341.84
  4. Step 4: Simplify right side
    6,501.28x = 22,837,436.33
  5. Step 5: Solve for x
    x = 22,837,436.33/6,501.28
  6. Step 6: Final answer
    x = 3,512.76

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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.