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Finding the Fourth Proportional to 6,117.97, 9,175.65 and 1,735.47

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Solution

The fourth proportional to 6,117.97, 9,175.65 and 1,735.47 is: 2,602.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,117.97 : 9,175.65 = 1,735.47 : x
  2. Step 2: Convert to fraction form
    6,117.97/9,175.65 = 1,735.47/x
  3. Step 3: Cross multiply
    6,117.97x = 9,175.65 × 1,735.47
  4. Step 4: Simplify right side
    6,117.97x = 15,924,065.31
  5. Step 5: Solve for x
    x = 15,924,065.31/6,117.97
  6. Step 6: Final answer
    x = 2,602.83

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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.