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Finding the Fourth Proportional to 9,301.54, 13,953.66 and 4,917.82

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Solution

The fourth proportional to 9,301.54, 13,953.66 and 4,917.82 is: 7,377.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,301.54 : 13,953.66 = 4,917.82 : x
  2. Step 2: Convert to fraction form
    9,301.54/13,953.66 = 4,917.82/x
  3. Step 3: Cross multiply
    9,301.54x = 13,953.66 × 4,917.82
  4. Step 4: Simplify right side
    9,301.54x = 68,621,588.22
  5. Step 5: Solve for x
    x = 68,621,588.22/9,301.54
  6. Step 6: Final answer
    x = 7,377.44

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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.