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Finding the Fourth Proportional to 7,021.96, 9,689.80 and 3,878.40

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Solution

The fourth proportional to 7,021.96, 9,689.80 and 3,878.40 is: 5,351.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,021.96 : 9,689.80 = 3,878.40 : x
  2. Step 2: Convert to fraction form
    7,021.96/9,689.80 = 3,878.40/x
  3. Step 3: Cross multiply
    7,021.96x = 9,689.80 × 3,878.40
  4. Step 4: Simplify right side
    7,021.96x = 37,580,920.32
  5. Step 5: Solve for x
    x = 37,580,920.32/7,021.96
  6. Step 6: Final answer
    x = 5,351.91

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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.