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Finding the Fourth Proportional to 6,097.55, 9,145.24 and 1,714.97

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Solution

The fourth proportional to 6,097.55, 9,145.24 and 1,714.97 is: 2,572.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.55 : 9,145.24 = 1,714.97 : x
  2. Step 2: Convert to fraction form
    6,097.55/9,145.24 = 1,714.97/x
  3. Step 3: Cross multiply
    6,097.55x = 9,145.24 × 1,714.97
  4. Step 4: Simplify right side
    6,097.55x = 15,683,830.82
  5. Step 5: Solve for x
    x = 15,683,830.82/6,097.55
  6. Step 6: Final answer
    x = 2,572.15

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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.