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Finding the Fourth Proportional to 6,400.46, 8,832.74 and 3,567.84

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Solution

The fourth proportional to 6,400.46, 8,832.74 and 3,567.84 is: 4,923.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.46 : 8,832.74 = 3,567.84 : x
  2. Step 2: Convert to fraction form
    6,400.46/8,832.74 = 3,567.84/x
  3. Step 3: Cross multiply
    6,400.46x = 8,832.74 × 3,567.84
  4. Step 4: Simplify right side
    6,400.46x = 31,513,803.08
  5. Step 5: Solve for x
    x = 31,513,803.08/6,400.46
  6. Step 6: Final answer
    x = 4,923.68

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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.