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Finding the Fourth Proportional to 9,819.16, 13,550.49 and 5,342.94

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Solution

The fourth proportional to 9,819.16, 13,550.49 and 5,342.94 is: 7,373.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,819.16 : 13,550.49 = 5,342.94 : x
  2. Step 2: Convert to fraction form
    9,819.16/13,550.49 = 5,342.94/x
  3. Step 3: Cross multiply
    9,819.16x = 13,550.49 × 5,342.94
  4. Step 4: Simplify right side
    9,819.16x = 72,399,455.04
  5. Step 5: Solve for x
    x = 72,399,455.04/9,819.16
  6. Step 6: Final answer
    x = 7,373.28

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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.