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Finding the Fourth Proportional to 9,618.39, 13,272.06 and 5,368.95

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Solution

The fourth proportional to 9,618.39, 13,272.06 and 5,368.95 is: 7,408.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,618.39 : 13,272.06 = 5,368.95 : x
  2. Step 2: Convert to fraction form
    9,618.39/13,272.06 = 5,368.95/x
  3. Step 3: Cross multiply
    9,618.39x = 13,272.06 × 5,368.95
  4. Step 4: Simplify right side
    9,618.39x = 71,257,026.54
  5. Step 5: Solve for x
    x = 71,257,026.54/9,618.39
  6. Step 6: Final answer
    x = 7,408.42

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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.