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Finding the Fourth Proportional to 9,814.92, 14,723.84 and 4,550.47

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Solution

The fourth proportional to 9,814.92, 14,723.84 and 4,550.47 is: 6,826.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814.92 : 14,723.84 = 4,550.47 : x
  2. Step 2: Convert to fraction form
    9,814.92/14,723.84 = 4,550.47/x
  3. Step 3: Cross multiply
    9,814.92x = 14,723.84 × 4,550.47
  4. Step 4: Simplify right side
    9,814.92x = 67,000,392.20
  5. Step 5: Solve for x
    x = 67,000,392.20/9,814.92
  6. Step 6: Final answer
    x = 6,826.38

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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.