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Finding the Fourth Proportional to 12,634.86, 17,437.34 and 9,442.60

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Solution

The fourth proportional to 12,634.86, 17,437.34 and 9,442.60 is: 13,031.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,634.86 : 17,437.34 = 9,442.60 : x
  2. Step 2: Convert to fraction form
    12,634.86/17,437.34 = 9,442.60/x
  3. Step 3: Cross multiply
    12,634.86x = 17,437.34 × 9,442.60
  4. Step 4: Simplify right side
    12,634.86x = 164,653,826.68
  5. Step 5: Solve for x
    x = 164,653,826.68/12,634.86
  6. Step 6: Final answer
    x = 13,031.71

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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.