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Finding the Fourth Proportional to 6,642.13, 9,166.42 and 3,810.30

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Solution

The fourth proportional to 6,642.13, 9,166.42 and 3,810.30 is: 5,258.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,642.13 : 9,166.42 = 3,810.30 : x
  2. Step 2: Convert to fraction form
    6,642.13/9,166.42 = 3,810.30/x
  3. Step 3: Cross multiply
    6,642.13x = 9,166.42 × 3,810.30
  4. Step 4: Simplify right side
    6,642.13x = 34,926,856.41
  5. Step 5: Solve for x
    x = 34,926,856.41/6,642.13
  6. Step 6: Final answer
    x = 5,258.38

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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.