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Finding the Fourth Proportional to 7,223.90, 9,967.38 and 4,238.66

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Solution

The fourth proportional to 7,223.90, 9,967.38 and 4,238.66 is: 5,848.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,223.90 : 9,967.38 = 4,238.66 : x
  2. Step 2: Convert to fraction form
    7,223.90/9,967.38 = 4,238.66/x
  3. Step 3: Cross multiply
    7,223.90x = 9,967.38 × 4,238.66
  4. Step 4: Simplify right side
    7,223.90x = 42,248,334.91
  5. Step 5: Solve for x
    x = 42,248,334.91/7,223.90
  6. Step 6: Final answer
    x = 5,848.41

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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.