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Finding the Fourth Proportional to 6,454.23, 9,672.84 and 2,556.51

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Solution

The fourth proportional to 6,454.23, 9,672.84 and 2,556.51 is: 3,831.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,454.23 : 9,672.84 = 2,556.51 : x
  2. Step 2: Convert to fraction form
    6,454.23/9,672.84 = 2,556.51/x
  3. Step 3: Cross multiply
    6,454.23x = 9,672.84 × 2,556.51
  4. Step 4: Simplify right side
    6,454.23x = 24,728,712.19
  5. Step 5: Solve for x
    x = 24,728,712.19/6,454.23
  6. Step 6: Final answer
    x = 3,831.40

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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.