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Finding the Fourth Proportional to 9,964.42, 13,756.42 and 5,986.50

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Solution

The fourth proportional to 9,964.42, 13,756.42 and 5,986.50 is: 8,264.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964.42 : 13,756.42 = 5,986.50 : x
  2. Step 2: Convert to fraction form
    9,964.42/13,756.42 = 5,986.50/x
  3. Step 3: Cross multiply
    9,964.42x = 13,756.42 × 5,986.50
  4. Step 4: Simplify right side
    9,964.42x = 82,352,808.33
  5. Step 5: Solve for x
    x = 82,352,808.33/9,964.42
  6. Step 6: Final answer
    x = 8,264.69

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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.