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Finding the Fourth Proportional to 7,164.01, 9,886.40 and 3,977.38

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Solution

The fourth proportional to 7,164.01, 9,886.40 and 3,977.38 is: 5,488.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.01 : 9,886.40 = 3,977.38 : x
  2. Step 2: Convert to fraction form
    7,164.01/9,886.40 = 3,977.38/x
  3. Step 3: Cross multiply
    7,164.01x = 9,886.40 × 3,977.38
  4. Step 4: Simplify right side
    7,164.01x = 39,321,969.63
  5. Step 5: Solve for x
    x = 39,321,969.63/7,164.01
  6. Step 6: Final answer
    x = 5,488.82

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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.