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Finding the Fourth Proportional to 9,964.77, 13,751.26 and 5,488.42

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Solution

The fourth proportional to 9,964.77, 13,751.26 and 5,488.42 is: 7,573.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964.77 : 13,751.26 = 5,488.42 : x
  2. Step 2: Convert to fraction form
    9,964.77/13,751.26 = 5,488.42/x
  3. Step 3: Cross multiply
    9,964.77x = 13,751.26 × 5,488.42
  4. Step 4: Simplify right side
    9,964.77x = 75,472,690.41
  5. Step 5: Solve for x
    x = 75,472,690.41/9,964.77
  6. Step 6: Final answer
    x = 7,573.95

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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.