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Finding the Fourth Proportional to 12,594.42, 17,380.34 and 6,929.18

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Solution

The fourth proportional to 12,594.42, 17,380.34 and 6,929.18 is: 9,562.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,594.42 : 17,380.34 = 6,929.18 : x
  2. Step 2: Convert to fraction form
    12,594.42/17,380.34 = 6,929.18/x
  3. Step 3: Cross multiply
    12,594.42x = 17,380.34 × 6,929.18
  4. Step 4: Simplify right side
    12,594.42x = 120,431,473.93
  5. Step 5: Solve for x
    x = 120,431,473.93/12,594.42
  6. Step 6: Final answer
    x = 9,562.29

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