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Finding the Fourth Proportional to 6,509.73, 9,762.50 and 2,560.07

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Solution

The fourth proportional to 6,509.73, 9,762.50 and 2,560.07 is: 3,839.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.73 : 9,762.50 = 2,560.07 : x
  2. Step 2: Convert to fraction form
    6,509.73/9,762.50 = 2,560.07/x
  3. Step 3: Cross multiply
    6,509.73x = 9,762.50 × 2,560.07
  4. Step 4: Simplify right side
    6,509.73x = 24,992,621.76
  5. Step 5: Solve for x
    x = 24,992,621.76/6,509.73
  6. Step 6: Final answer
    x = 3,839.27

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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.