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Finding the Fourth Proportional to 7,221.78, 9,956.45 and 6,483.67

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Solution

The fourth proportional to 7,221.78, 9,956.45 and 6,483.67 is: 8,938.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,221.78 : 9,956.45 = 6,483.67 : x
  2. Step 2: Convert to fraction form
    7,221.78/9,956.45 = 6,483.67/x
  3. Step 3: Cross multiply
    7,221.78x = 9,956.45 × 6,483.67
  4. Step 4: Simplify right side
    7,221.78x = 64,554,327.49
  5. Step 5: Solve for x
    x = 64,554,327.49/7,221.78
  6. Step 6: Final answer
    x = 8,938.84

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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.