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Finding the Fourth Proportional to 6,095.70, 9,144.55 and 2,145.94

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Solution

The fourth proportional to 6,095.70, 9,144.55 and 2,145.94 is: 3,219.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,095.70 : 9,144.55 = 2,145.94 : x
  2. Step 2: Convert to fraction form
    6,095.70/9,144.55 = 2,145.94/x
  3. Step 3: Cross multiply
    6,095.70x = 9,144.55 × 2,145.94
  4. Step 4: Simplify right side
    6,095.70x = 19,623,655.63
  5. Step 5: Solve for x
    x = 19,623,655.63/6,095.70
  6. Step 6: Final answer
    x = 3,219.26

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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.