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Finding the Fourth Proportional to 9,934.62, 14,883.21 and 5,004.06

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Solution

The fourth proportional to 9,934.62, 14,883.21 and 5,004.06 is: 7,496.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,934.62 : 14,883.21 = 5,004.06 : x
  2. Step 2: Convert to fraction form
    9,934.62/14,883.21 = 5,004.06/x
  3. Step 3: Cross multiply
    9,934.62x = 14,883.21 × 5,004.06
  4. Step 4: Simplify right side
    9,934.62x = 74,476,475.83
  5. Step 5: Solve for x
    x = 74,476,475.83/9,934.62
  6. Step 6: Final answer
    x = 7,496.66

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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.