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Finding the Fourth Proportional to 7,033.32, 9,706 and 3,889.50

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Solution

The fourth proportional to 7,033.32, 9,706 and 3,889.50 is: 5,367.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,033.32 : 9,706 = 3,889.50 : x
  2. Step 2: Convert to fraction form
    7,033.32/9,706 = 3,889.50/x
  3. Step 3: Cross multiply
    7,033.32x = 9,706 × 3,889.50
  4. Step 4: Simplify right side
    7,033.32x = 37,751,487
  5. Step 5: Solve for x
    x = 37,751,487/7,033.32
  6. Step 6: Final answer
    x = 5,367.52

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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.