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Finding the Fourth Proportional to 9,992.34, 14,984.15 and 5,311.23

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Solution

The fourth proportional to 9,992.34, 14,984.15 and 5,311.23 is: 7,964.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,992.34 : 14,984.15 = 5,311.23 : x
  2. Step 2: Convert to fraction form
    9,992.34/14,984.15 = 5,311.23/x
  3. Step 3: Cross multiply
    9,992.34x = 14,984.15 × 5,311.23
  4. Step 4: Simplify right side
    9,992.34x = 79,584,240.45
  5. Step 5: Solve for x
    x = 79,584,240.45/9,992.34
  6. Step 6: Final answer
    x = 7,964.52

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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.