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Finding the Fourth Proportional to 6,097.51, 9,146.06 and 2,585.26

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Solution

The fourth proportional to 6,097.51, 9,146.06 and 2,585.26 is: 3,877.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.51 : 9,146.06 = 2,585.26 : x
  2. Step 2: Convert to fraction form
    6,097.51/9,146.06 = 2,585.26/x
  3. Step 3: Cross multiply
    6,097.51x = 9,146.06 × 2,585.26
  4. Step 4: Simplify right side
    6,097.51x = 23,644,884.42
  5. Step 5: Solve for x
    x = 23,644,884.42/6,097.51
  6. Step 6: Final answer
    x = 3,877.79

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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.