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Finding the Fourth Proportional to 7,117.12, 9,821.44 and 3,930.65

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Solution

The fourth proportional to 7,117.12, 9,821.44 and 3,930.65 is: 5,424.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,117.12 : 9,821.44 = 3,930.65 : x
  2. Step 2: Convert to fraction form
    7,117.12/9,821.44 = 3,930.65/x
  3. Step 3: Cross multiply
    7,117.12x = 9,821.44 × 3,930.65
  4. Step 4: Simplify right side
    7,117.12x = 38,604,574.38
  5. Step 5: Solve for x
    x = 38,604,574.38/7,117.12
  6. Step 6: Final answer
    x = 5,424.19

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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.