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Finding the Fourth Proportional to 7,033.04, 9,706.56 and 4,238

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Solution

The fourth proportional to 7,033.04, 9,706.56 and 4,238 is: 5,849.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,033.04 : 9,706.56 = 4,238 : x
  2. Step 2: Convert to fraction form
    7,033.04/9,706.56 = 4,238/x
  3. Step 3: Cross multiply
    7,033.04x = 9,706.56 × 4,238
  4. Step 4: Simplify right side
    7,033.04x = 41,136,401.28
  5. Step 5: Solve for x
    x = 41,136,401.28/7,033.04
  6. Step 6: Final answer
    x = 5,849.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.