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Finding the Fourth Proportional to 6,095.34, 9,143 and 2,145.66

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Solution

The fourth proportional to 6,095.34, 9,143 and 2,145.66 is: 3,218.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,095.34 : 9,143 = 2,145.66 : x
  2. Step 2: Convert to fraction form
    6,095.34/9,143 = 2,145.66/x
  3. Step 3: Cross multiply
    6,095.34x = 9,143 × 2,145.66
  4. Step 4: Simplify right side
    6,095.34x = 19,617,769.38
  5. Step 5: Solve for x
    x = 19,617,769.38/6,095.34
  6. Step 6: Final answer
    x = 3,218.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.