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Finding the Fourth Proportional to 6,859.32, 9,459.94 and 4,468.39

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Solution

The fourth proportional to 6,859.32, 9,459.94 and 4,468.39 is: 6,162.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,859.32 : 9,459.94 = 4,468.39 : x
  2. Step 2: Convert to fraction form
    6,859.32/9,459.94 = 4,468.39/x
  3. Step 3: Cross multiply
    6,859.32x = 9,459.94 × 4,468.39
  4. Step 4: Simplify right side
    6,859.32x = 42,270,760.22
  5. Step 5: Solve for x
    x = 42,270,760.22/6,859.32
  6. Step 6: Final answer
    x = 6,162.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.