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Finding the Fourth Proportional to 9,196.95, 13,795.44 and 4,265.94

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Solution

The fourth proportional to 9,196.95, 13,795.44 and 4,265.94 is: 6,398.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,196.95 : 13,795.44 = 4,265.94 : x
  2. Step 2: Convert to fraction form
    9,196.95/13,795.44 = 4,265.94/x
  3. Step 3: Cross multiply
    9,196.95x = 13,795.44 × 4,265.94
  4. Step 4: Simplify right side
    9,196.95x = 58,850,519.31
  5. Step 5: Solve for x
    x = 58,850,519.31/9,196.95
  6. Step 6: Final answer
    x = 6,398.92

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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.