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Finding the Fourth Proportional to 6,447.36, 9,670.96 and 2,552.64

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Solution

The fourth proportional to 6,447.36, 9,670.96 and 2,552.64 is: 3,828.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,447.36 : 9,670.96 = 2,552.64 : x
  2. Step 2: Convert to fraction form
    6,447.36/9,670.96 = 2,552.64/x
  3. Step 3: Cross multiply
    6,447.36x = 9,670.96 × 2,552.64
  4. Step 4: Simplify right side
    6,447.36x = 24,686,479.33
  5. Step 5: Solve for x
    x = 24,686,479.33/6,447.36
  6. Step 6: Final answer
    x = 3,828.93

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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.