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Finding the Fourth Proportional to 9,966.80, 14,950.20 and 4,123.55

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Solution

The fourth proportional to 9,966.80, 14,950.20 and 4,123.55 is: 6,185.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,966.80 : 14,950.20 = 4,123.55 : x
  2. Step 2: Convert to fraction form
    9,966.80/14,950.20 = 4,123.55/x
  3. Step 3: Cross multiply
    9,966.80x = 14,950.20 × 4,123.55
  4. Step 4: Simplify right side
    9,966.80x = 61,647,897.21
  5. Step 5: Solve for x
    x = 61,647,897.21/9,966.80
  6. Step 6: Final answer
    x = 6,185.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.