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Finding the Fourth Proportional to 6,097.98, 8,421.39 and 5,093.31

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Solution

The fourth proportional to 6,097.98, 8,421.39 and 5,093.31 is: 7,033.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.98 : 8,421.39 = 5,093.31 : x
  2. Step 2: Convert to fraction form
    6,097.98/8,421.39 = 5,093.31/x
  3. Step 3: Cross multiply
    6,097.98x = 8,421.39 × 5,093.31
  4. Step 4: Simplify right side
    6,097.98x = 42,892,749.90
  5. Step 5: Solve for x
    x = 42,892,749.90/6,097.98
  6. Step 6: Final answer
    x = 7,033.93

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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.