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Finding the Fourth Proportional to 6,097.86, 9,147.33 and 1,715.36

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Solution

The fourth proportional to 6,097.86, 9,147.33 and 1,715.36 is: 2,573.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.86 : 9,147.33 = 1,715.36 : x
  2. Step 2: Convert to fraction form
    6,097.86/9,147.33 = 1,715.36/x
  3. Step 3: Cross multiply
    6,097.86x = 9,147.33 × 1,715.36
  4. Step 4: Simplify right side
    6,097.86x = 15,690,918.25
  5. Step 5: Solve for x
    x = 15,690,918.25/6,097.86
  6. Step 6: Final answer
    x = 2,573.18

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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.