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Finding the Fourth Proportional to 9,188, 12,679.46 and 4,996.26

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Solution

The fourth proportional to 9,188, 12,679.46 and 4,996.26 is: 6,894.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,188 : 12,679.46 = 4,996.26 : x
  2. Step 2: Convert to fraction form
    9,188/12,679.46 = 4,996.26/x
  3. Step 3: Cross multiply
    9,188x = 12,679.46 × 4,996.26
  4. Step 4: Simplify right side
    9,188x = 63,349,878.82
  5. Step 5: Solve for x
    x = 63,349,878.82/9,188
  6. Step 6: Final answer
    x = 6,894.85

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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.