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Finding the Fourth Proportional to 6,496.93, 8,966.53 and 3,844.34

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Solution

The fourth proportional to 6,496.93, 8,966.53 and 3,844.34 is: 5,305.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496.93 : 8,966.53 = 3,844.34 : x
  2. Step 2: Convert to fraction form
    6,496.93/8,966.53 = 3,844.34/x
  3. Step 3: Cross multiply
    6,496.93x = 8,966.53 × 3,844.34
  4. Step 4: Simplify right side
    6,496.93x = 34,470,350.21
  5. Step 5: Solve for x
    x = 34,470,350.21/6,496.93
  6. Step 6: Final answer
    x = 5,305.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.