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Finding the Fourth Proportional to 7,127.16, 9,834.88 and 3,983.28

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Solution

The fourth proportional to 7,127.16, 9,834.88 and 3,983.28 is: 5,496.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,127.16 : 9,834.88 = 3,983.28 : x
  2. Step 2: Convert to fraction form
    7,127.16/9,834.88 = 3,983.28/x
  3. Step 3: Cross multiply
    7,127.16x = 9,834.88 × 3,983.28
  4. Step 4: Simplify right side
    7,127.16x = 39,175,080.81
  5. Step 5: Solve for x
    x = 39,175,080.81/7,127.16
  6. Step 6: Final answer
    x = 5,496.59

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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.