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Finding the Fourth Proportional to 6,509.40, 9,765.87 and 2,616.54

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Solution

The fourth proportional to 6,509.40, 9,765.87 and 2,616.54 is: 3,925.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.40 : 9,765.87 = 2,616.54 : x
  2. Step 2: Convert to fraction form
    6,509.40/9,765.87 = 2,616.54/x
  3. Step 3: Cross multiply
    6,509.40x = 9,765.87 × 2,616.54
  4. Step 4: Simplify right side
    6,509.40x = 25,552,789.49
  5. Step 5: Solve for x
    x = 25,552,789.49/6,509.40
  6. Step 6: Final answer
    x = 3,925.52

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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.