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Finding the Fourth Proportional to 6,097.08, 9,137.42 and 4,445.90

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Solution

The fourth proportional to 6,097.08, 9,137.42 and 4,445.90 is: 6,662.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.08 : 9,137.42 = 4,445.90 : x
  2. Step 2: Convert to fraction form
    6,097.08/9,137.42 = 4,445.90/x
  3. Step 3: Cross multiply
    6,097.08x = 9,137.42 × 4,445.90
  4. Step 4: Simplify right side
    6,097.08x = 40,624,055.58
  5. Step 5: Solve for x
    x = 40,624,055.58/6,097.08
  6. Step 6: Final answer
    x = 6,662.87

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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.