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Finding the Fourth Proportional to 7,046.63, 9,723.98 and 3,859.77

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Solution

The fourth proportional to 7,046.63, 9,723.98 and 3,859.77 is: 5,326.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,046.63 : 9,723.98 = 3,859.77 : x
  2. Step 2: Convert to fraction form
    7,046.63/9,723.98 = 3,859.77/x
  3. Step 3: Cross multiply
    7,046.63x = 9,723.98 × 3,859.77
  4. Step 4: Simplify right side
    7,046.63x = 37,532,272.26
  5. Step 5: Solve for x
    x = 37,532,272.26/7,046.63
  6. Step 6: Final answer
    x = 5,326.27

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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.