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Finding the Fourth Proportional to 9,819.74, 13,550.18 and 5,840.32

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Solution

The fourth proportional to 9,819.74, 13,550.18 and 5,840.32 is: 8,059.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,819.74 : 13,550.18 = 5,840.32 : x
  2. Step 2: Convert to fraction form
    9,819.74/13,550.18 = 5,840.32/x
  3. Step 3: Cross multiply
    9,819.74x = 13,550.18 × 5,840.32
  4. Step 4: Simplify right side
    9,819.74x = 79,137,387.26
  5. Step 5: Solve for x
    x = 79,137,387.26/9,819.74
  6. Step 6: Final answer
    x = 8,059.01

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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.