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Finding the Fourth Proportional to 9,196.67, 13,782.84 and 3,347.66

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Solution

The fourth proportional to 9,196.67, 13,782.84 and 3,347.66 is: 5,017.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,196.67 : 13,782.84 = 3,347.66 : x
  2. Step 2: Convert to fraction form
    9,196.67/13,782.84 = 3,347.66/x
  3. Step 3: Cross multiply
    9,196.67x = 13,782.84 × 3,347.66
  4. Step 4: Simplify right side
    9,196.67x = 46,140,193.24
  5. Step 5: Solve for x
    x = 46,140,193.24/9,196.67
  6. Step 6: Final answer
    x = 5,017.06

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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.