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Finding the Fourth Proportional to 9,431.42, 14,148.84 and 4,166.42

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Solution

The fourth proportional to 9,431.42, 14,148.84 and 4,166.42 is: 6,250.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,431.42 : 14,148.84 = 4,166.42 : x
  2. Step 2: Convert to fraction form
    9,431.42/14,148.84 = 4,166.42/x
  3. Step 3: Cross multiply
    9,431.42x = 14,148.84 × 4,166.42
  4. Step 4: Simplify right side
    9,431.42x = 58,950,009.95
  5. Step 5: Solve for x
    x = 58,950,009.95/9,431.42
  6. Step 6: Final answer
    x = 6,250.39

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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.