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Finding the Fourth Proportional to 7,113.62, 9,815.89 and 3,969.94

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Solution

The fourth proportional to 7,113.62, 9,815.89 and 3,969.94 is: 5,478.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,113.62 : 9,815.89 = 3,969.94 : x
  2. Step 2: Convert to fraction form
    7,113.62/9,815.89 = 3,969.94/x
  3. Step 3: Cross multiply
    7,113.62x = 9,815.89 × 3,969.94
  4. Step 4: Simplify right side
    7,113.62x = 38,968,494.35
  5. Step 5: Solve for x
    x = 38,968,494.35/7,113.62
  6. Step 6: Final answer
    x = 5,478.01

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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.