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Finding the Fourth Proportional to 9,931,229.64, 13,704,659.46 and 5,801,643.09

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Solution

The fourth proportional to 9,931,229.64, 13,704,659.46 and 5,801,643.09 is: 8,006,011.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,931,229.64 : 13,704,659.46 = 5,801,643.09 : x
  2. Step 2: Convert to fraction form
    9,931,229.64/13,704,659.46 = 5,801,643.09/x
  3. Step 3: Cross multiply
    9,931,229.64x = 13,704,659.46 × 5,801,643.09
  4. Step 4: Simplify right side
    9,931,229.64x = 79,509,542,856,912.14
  5. Step 5: Solve for x
    x = 79,509,542,856,912.14/9,931,229.64
  6. Step 6: Final answer
    x = 8,006,011.92

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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.