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Finding the Fourth Proportional to 6,097.62, 8,415.09 and 3,444.06

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Solution

The fourth proportional to 6,097.62, 8,415.09 and 3,444.06 is: 4,753.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.62 : 8,415.09 = 3,444.06 : x
  2. Step 2: Convert to fraction form
    6,097.62/8,415.09 = 3,444.06/x
  3. Step 3: Cross multiply
    6,097.62x = 8,415.09 × 3,444.06
  4. Step 4: Simplify right side
    6,097.62x = 28,982,074.87
  5. Step 5: Solve for x
    x = 28,982,074.87/6,097.62
  6. Step 6: Final answer
    x = 4,753.01

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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.