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Finding the Fourth Proportional to 7,103.24, 9,802.25 and 3,872.93

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Solution

The fourth proportional to 7,103.24, 9,802.25 and 3,872.93 is: 5,344.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,103.24 : 9,802.25 = 3,872.93 : x
  2. Step 2: Convert to fraction form
    7,103.24/9,802.25 = 3,872.93/x
  3. Step 3: Cross multiply
    7,103.24x = 9,802.25 × 3,872.93
  4. Step 4: Simplify right side
    7,103.24x = 37,963,440.27
  5. Step 5: Solve for x
    x = 37,963,440.27/7,103.24
  6. Step 6: Final answer
    x = 5,344.53

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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.