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Finding the Fourth Proportional to 9,964.41, 13,756.41 and 5,986.50

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Solution

The fourth proportional to 9,964.41, 13,756.41 and 5,986.50 is: 8,264.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964.41 : 13,756.41 = 5,986.50 : x
  2. Step 2: Convert to fraction form
    9,964.41/13,756.41 = 5,986.50/x
  3. Step 3: Cross multiply
    9,964.41x = 13,756.41 × 5,986.50
  4. Step 4: Simplify right side
    9,964.41x = 82,352,748.47
  5. Step 5: Solve for x
    x = 82,352,748.47/9,964.41
  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.