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Finding the Fourth Proportional to 6,480.93, 9,718.99 and 5,096.97

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Solution

The fourth proportional to 6,480.93, 9,718.99 and 5,096.97 is: 7,643.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,480.93 : 9,718.99 = 5,096.97 : x
  2. Step 2: Convert to fraction form
    6,480.93/9,718.99 = 5,096.97/x
  3. Step 3: Cross multiply
    6,480.93x = 9,718.99 × 5,096.97
  4. Step 4: Simplify right side
    6,480.93x = 49,537,400.46
  5. Step 5: Solve for x
    x = 49,537,400.46/6,480.93
  6. Step 6: Final answer
    x = 7,643.56

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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.