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Finding the Fourth Proportional to 9,207.78, 13,813.36 and 3,368.58

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Solution

The fourth proportional to 9,207.78, 13,813.36 and 3,368.58 is: 5,053.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,207.78 : 13,813.36 = 3,368.58 : x
  2. Step 2: Convert to fraction form
    9,207.78/13,813.36 = 3,368.58/x
  3. Step 3: Cross multiply
    9,207.78x = 13,813.36 × 3,368.58
  4. Step 4: Simplify right side
    9,207.78x = 46,531,408.23
  5. Step 5: Solve for x
    x = 46,531,408.23/9,207.78
  6. Step 6: Final answer
    x = 5,053.49

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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.