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Finding the Fourth Proportional to 6,074.63, 9,097.36 and 3,472.10

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Solution

The fourth proportional to 6,074.63, 9,097.36 and 3,472.10 is: 5,199.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,074.63 : 9,097.36 = 3,472.10 : x
  2. Step 2: Convert to fraction form
    6,074.63/9,097.36 = 3,472.10/x
  3. Step 3: Cross multiply
    6,074.63x = 9,097.36 × 3,472.10
  4. Step 4: Simplify right side
    6,074.63x = 31,586,943.66
  5. Step 5: Solve for x
    x = 31,586,943.66/6,074.63
  6. Step 6: Final answer
    x = 5,199.81

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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.