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Finding the Fourth Proportional to 9,956.82, 14,907.14 and 5,266.20

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Solution

The fourth proportional to 9,956.82, 14,907.14 and 5,266.20 is: 7,884.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,956.82 : 14,907.14 = 5,266.20 : x
  2. Step 2: Convert to fraction form
    9,956.82/14,907.14 = 5,266.20/x
  3. Step 3: Cross multiply
    9,956.82x = 14,907.14 × 5,266.20
  4. Step 4: Simplify right side
    9,956.82x = 78,503,980.67
  5. Step 5: Solve for x
    x = 78,503,980.67/9,956.82
  6. Step 6: Final answer
    x = 7,884.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.