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Finding the Fourth Proportional to 7,056.97, 9,738.92 and 3,913.16

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Solution

The fourth proportional to 7,056.97, 9,738.92 and 3,913.16 is: 5,400.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,056.97 : 9,738.92 = 3,913.16 : x
  2. Step 2: Convert to fraction form
    7,056.97/9,738.92 = 3,913.16/x
  3. Step 3: Cross multiply
    7,056.97x = 9,738.92 × 3,913.16
  4. Step 4: Simplify right side
    7,056.97x = 38,109,952.19
  5. Step 5: Solve for x
    x = 38,109,952.19/7,056.97
  6. Step 6: Final answer
    x = 5,400.33

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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.