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Finding the Fourth Proportional to 9,814.24, 14,723.52 and 9,383.68

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Solution

The fourth proportional to 9,814.24, 14,723.52 and 9,383.68 is: 14,077.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814.24 : 14,723.52 = 9,383.68 : x
  2. Step 2: Convert to fraction form
    9,814.24/14,723.52 = 9,383.68/x
  3. Step 3: Cross multiply
    9,814.24x = 14,723.52 × 9,383.68
  4. Step 4: Simplify right side
    9,814.24x = 138,160,800.15
  5. Step 5: Solve for x
    x = 138,160,800.15/9,814.24
  6. Step 6: Final answer
    x = 14,077.59

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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.