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Finding the Fourth Proportional to 7,123.14, 9,830.40 and 3,979.38

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Solution

The fourth proportional to 7,123.14, 9,830.40 and 3,979.38 is: 5,491.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,123.14 : 9,830.40 = 3,979.38 : x
  2. Step 2: Convert to fraction form
    7,123.14/9,830.40 = 3,979.38/x
  3. Step 3: Cross multiply
    7,123.14x = 9,830.40 × 3,979.38
  4. Step 4: Simplify right side
    7,123.14x = 39,118,897.15
  5. Step 5: Solve for x
    x = 39,118,897.15/7,123.14
  6. Step 6: Final answer
    x = 5,491.81

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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.