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Finding the Fourth Proportional to 9,953.88, 14,919.48 and 4,103.16

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Solution

The fourth proportional to 9,953.88, 14,919.48 and 4,103.16 is: 6,150.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,953.88 : 14,919.48 = 4,103.16 : x
  2. Step 2: Convert to fraction form
    9,953.88/14,919.48 = 4,103.16/x
  3. Step 3: Cross multiply
    9,953.88x = 14,919.48 × 4,103.16
  4. Step 4: Simplify right side
    9,953.88x = 61,217,013.56
  5. Step 5: Solve for x
    x = 61,217,013.56/9,953.88
  6. Step 6: Final answer
    x = 6,150.07

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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.