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Finding the Fourth Proportional to 9,986.13, 14,988.51 and 5,311.62

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Solution

The fourth proportional to 9,986.13, 14,988.51 and 5,311.62 is: 7,972.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,986.13 : 14,988.51 = 5,311.62 : x
  2. Step 2: Convert to fraction form
    9,986.13/14,988.51 = 5,311.62/x
  3. Step 3: Cross multiply
    9,986.13x = 14,988.51 × 5,311.62
  4. Step 4: Simplify right side
    9,986.13x = 79,613,269.49
  5. Step 5: Solve for x
    x = 79,613,269.49/9,986.13
  6. Step 6: Final answer
    x = 7,972.38

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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.