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Finding the Fourth Proportional to 6,095.13, 9,144.04 and 1,935.38

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Solution

The fourth proportional to 6,095.13, 9,144.04 and 1,935.38 is: 2,903.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,095.13 : 9,144.04 = 1,935.38 : x
  2. Step 2: Convert to fraction form
    6,095.13/9,144.04 = 1,935.38/x
  3. Step 3: Cross multiply
    6,095.13x = 9,144.04 × 1,935.38
  4. Step 4: Simplify right side
    6,095.13x = 17,697,146.42
  5. Step 5: Solve for x
    x = 17,697,146.42/6,095.13
  6. Step 6: Final answer
    x = 2,903.49

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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.