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Finding the Fourth Proportional to 6,093.06, 9,141.14 and 1,710.55

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Solution

The fourth proportional to 6,093.06, 9,141.14 and 1,710.55 is: 2,566.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,093.06 : 9,141.14 = 1,710.55 : x
  2. Step 2: Convert to fraction form
    6,093.06/9,141.14 = 1,710.55/x
  3. Step 3: Cross multiply
    6,093.06x = 9,141.14 × 1,710.55
  4. Step 4: Simplify right side
    6,093.06x = 15,636,377.03
  5. Step 5: Solve for x
    x = 15,636,377.03/6,093.06
  6. Step 6: Final answer
    x = 2,566.26

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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.