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Finding the Fourth Proportional to 12,793.24, 17,653.46 and 9,437.86

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Solution

The fourth proportional to 12,793.24, 17,653.46 and 9,437.86 is: 13,023.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,793.24 : 17,653.46 = 9,437.86 : x
  2. Step 2: Convert to fraction form
    12,793.24/17,653.46 = 9,437.86/x
  3. Step 3: Cross multiply
    12,793.24x = 17,653.46 × 9,437.86
  4. Step 4: Simplify right side
    12,793.24x = 166,610,884.00
  5. Step 5: Solve for x
    x = 166,610,884.00/12,793.24
  6. Step 6: Final answer
    x = 13,023.35

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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.