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Finding the Fourth Proportional to 7,052.29, 9,733.91 and 4,069.91

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Solution

The fourth proportional to 7,052.29, 9,733.91 and 4,069.91 is: 5,617.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,052.29 : 9,733.91 = 4,069.91 : x
  2. Step 2: Convert to fraction form
    7,052.29/9,733.91 = 4,069.91/x
  3. Step 3: Cross multiply
    7,052.29x = 9,733.91 × 4,069.91
  4. Step 4: Simplify right side
    7,052.29x = 39,616,141.63
  5. Step 5: Solve for x
    x = 39,616,141.63/7,052.29
  6. Step 6: Final answer
    x = 5,617.49

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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.