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Finding the Fourth Proportional to 6,860.26, 9,462.25 and 4,465.82

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Solution

The fourth proportional to 6,860.26, 9,462.25 and 4,465.82 is: 6,159.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,860.26 : 9,462.25 = 4,465.82 : x
  2. Step 2: Convert to fraction form
    6,860.26/9,462.25 = 4,465.82/x
  3. Step 3: Cross multiply
    6,860.26x = 9,462.25 × 4,465.82
  4. Step 4: Simplify right side
    6,860.26x = 42,256,734.53
  5. Step 5: Solve for x
    x = 42,256,734.53/6,860.26
  6. Step 6: Final answer
    x = 6,159.64

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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.