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Finding the Fourth Proportional to 6,860.64, 9,467.76 and 4,028.64

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Solution

The fourth proportional to 6,860.64, 9,467.76 and 4,028.64 is: 5,559.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,860.64 : 9,467.76 = 4,028.64 : x
  2. Step 2: Convert to fraction form
    6,860.64/9,467.76 = 4,028.64/x
  3. Step 3: Cross multiply
    6,860.64x = 9,467.76 × 4,028.64
  4. Step 4: Simplify right side
    6,860.64x = 38,142,196.65
  5. Step 5: Solve for x
    x = 38,142,196.65/6,860.64
  6. Step 6: Final answer
    x = 5,559.57

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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.