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Finding the Fourth Proportional to 9,196.84, 13,793.64 and 2,442.50

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Solution

The fourth proportional to 9,196.84, 13,793.64 and 2,442.50 is: 3,663.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,196.84 : 13,793.64 = 2,442.50 : x
  2. Step 2: Convert to fraction form
    9,196.84/13,793.64 = 2,442.50/x
  3. Step 3: Cross multiply
    9,196.84x = 13,793.64 × 2,442.50
  4. Step 4: Simplify right side
    9,196.84x = 33,691,030.63
  5. Step 5: Solve for x
    x = 33,691,030.63/9,196.84
  6. Step 6: Final answer
    x = 3,663.33

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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.