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Finding the Fourth Proportional to 6,097.17, 9,139.95 and 5,441.07

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Solution

The fourth proportional to 6,097.17, 9,139.95 and 5,441.07 is: 8,156.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.17 : 9,139.95 = 5,441.07 : x
  2. Step 2: Convert to fraction form
    6,097.17/9,139.95 = 5,441.07/x
  3. Step 3: Cross multiply
    6,097.17x = 9,139.95 × 5,441.07
  4. Step 4: Simplify right side
    6,097.17x = 49,731,107.75
  5. Step 5: Solve for x
    x = 49,731,107.75/6,097.17
  6. Step 6: Final answer
    x = 8,156.42

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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.