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Finding the Fourth Proportional to 7,220.43, 9,965.88 and 4,237.25

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Solution

The fourth proportional to 7,220.43, 9,965.88 and 4,237.25 is: 5,848.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,220.43 : 9,965.88 = 4,237.25 : x
  2. Step 2: Convert to fraction form
    7,220.43/9,965.88 = 4,237.25/x
  3. Step 3: Cross multiply
    7,220.43x = 9,965.88 × 4,237.25
  4. Step 4: Simplify right side
    7,220.43x = 42,227,875.20
  5. Step 5: Solve for x
    x = 42,227,875.20/7,220.43
  6. Step 6: Final answer
    x = 5,848.39

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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.