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Finding the Fourth Proportional to 12,269.55, 16,932.06 and 6,964.46

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Solution

The fourth proportional to 12,269.55, 16,932.06 and 6,964.46 is: 9,610.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,269.55 : 16,932.06 = 6,964.46 : x
  2. Step 2: Convert to fraction form
    12,269.55/16,932.06 = 6,964.46/x
  3. Step 3: Cross multiply
    12,269.55x = 16,932.06 × 6,964.46
  4. Step 4: Simplify right side
    12,269.55x = 117,922,569.93
  5. Step 5: Solve for x
    x = 117,922,569.93/12,269.55
  6. Step 6: Final answer
    x = 9,610.99

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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.