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Finding the Fourth Proportional to 6,097.41, 9,147.51 and 1,881.36

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Solution

The fourth proportional to 6,097.41, 9,147.51 and 1,881.36 is: 2,822.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.41 : 9,147.51 = 1,881.36 : x
  2. Step 2: Convert to fraction form
    6,097.41/9,147.51 = 1,881.36/x
  3. Step 3: Cross multiply
    6,097.41x = 9,147.51 × 1,881.36
  4. Step 4: Simplify right side
    6,097.41x = 17,209,759.41
  5. Step 5: Solve for x
    x = 17,209,759.41/6,097.41
  6. Step 6: Final answer
    x = 2,822.47

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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.