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Finding the Fourth Proportional to 9,098.34, 13,647.42 and 4,166.58

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Solution

The fourth proportional to 9,098.34, 13,647.42 and 4,166.58 is: 6,249.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,098.34 : 13,647.42 = 4,166.58 : x
  2. Step 2: Convert to fraction form
    9,098.34/13,647.42 = 4,166.58/x
  3. Step 3: Cross multiply
    9,098.34x = 13,647.42 × 4,166.58
  4. Step 4: Simplify right side
    9,098.34x = 56,863,067.22
  5. Step 5: Solve for x
    x = 56,863,067.22/9,098.34
  6. Step 6: Final answer
    x = 6,249.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.