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Finding the Fourth Proportional to 9,421.42, 12,994.38 and 6,902.62

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Solution

The fourth proportional to 9,421.42, 12,994.38 and 6,902.62 is: 9,520.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,421.42 : 12,994.38 = 6,902.62 : x
  2. Step 2: Convert to fraction form
    9,421.42/12,994.38 = 6,902.62/x
  3. Step 3: Cross multiply
    9,421.42x = 12,994.38 × 6,902.62
  4. Step 4: Simplify right side
    9,421.42x = 89,695,267.28
  5. Step 5: Solve for x
    x = 89,695,267.28/9,421.42
  6. Step 6: Final answer
    x = 9,520.36

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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.