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Finding the Fourth Proportional to 9,666.66, 14,494.17 and 5,278.02

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Solution

The fourth proportional to 9,666.66, 14,494.17 and 5,278.02 is: 7,913.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.66 : 14,494.17 = 5,278.02 : x
  2. Step 2: Convert to fraction form
    9,666.66/14,494.17 = 5,278.02/x
  3. Step 3: Cross multiply
    9,666.66x = 14,494.17 × 5,278.02
  4. Step 4: Simplify right side
    9,666.66x = 76,500,519.14
  5. Step 5: Solve for x
    x = 76,500,519.14/9,666.66
  6. Step 6: Final answer
    x = 7,913.85

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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.