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Finding the Fourth Proportional to 6,834.18, 9,430.35 and 3,849.93

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Solution

The fourth proportional to 6,834.18, 9,430.35 and 3,849.93 is: 5,312.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,834.18 : 9,430.35 = 3,849.93 : x
  2. Step 2: Convert to fraction form
    6,834.18/9,430.35 = 3,849.93/x
  3. Step 3: Cross multiply
    6,834.18x = 9,430.35 × 3,849.93
  4. Step 4: Simplify right side
    6,834.18x = 36,306,187.38
  5. Step 5: Solve for x
    x = 36,306,187.38/6,834.18
  6. Step 6: Final answer
    x = 5,312.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.