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Finding the Fourth Proportional to 12,269.88, 16,931.90 and 6,964.58

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Solution

The fourth proportional to 12,269.88, 16,931.90 and 6,964.58 is: 9,610.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,269.88 : 16,931.90 = 6,964.58 : x
  2. Step 2: Convert to fraction form
    12,269.88/16,931.90 = 6,964.58/x
  3. Step 3: Cross multiply
    12,269.88x = 16,931.90 × 6,964.58
  4. Step 4: Simplify right side
    12,269.88x = 117,923,631.84
  5. Step 5: Solve for x
    x = 117,923,631.84/12,269.88
  6. Step 6: Final answer
    x = 9,610.82

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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.