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Finding the Fourth Proportional to 6,496.71, 9,678.60 and 6,183.24

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Solution

The fourth proportional to 6,496.71, 9,678.60 and 6,183.24 is: 9,211.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496.71 : 9,678.60 = 6,183.24 : x
  2. Step 2: Convert to fraction form
    6,496.71/9,678.60 = 6,183.24/x
  3. Step 3: Cross multiply
    6,496.71x = 9,678.60 × 6,183.24
  4. Step 4: Simplify right side
    6,496.71x = 59,845,106.66
  5. Step 5: Solve for x
    x = 59,845,106.66/6,496.71
  6. Step 6: Final answer
    x = 9,211.60

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.