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Finding the Fourth Proportional to 7,021.72, 9,690.42 and 3,878.20

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Solution

The fourth proportional to 7,021.72, 9,690.42 and 3,878.20 is: 5,352.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,021.72 : 9,690.42 = 3,878.20 : x
  2. Step 2: Convert to fraction form
    7,021.72/9,690.42 = 3,878.20/x
  3. Step 3: Cross multiply
    7,021.72x = 9,690.42 × 3,878.20
  4. Step 4: Simplify right side
    7,021.72x = 37,581,386.84
  5. Step 5: Solve for x
    x = 37,581,386.84/7,021.72
  6. Step 6: Final answer
    x = 5,352.16

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