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Finding the Fourth Proportional to 9,850.15, 13,602.15 and 7,331.34

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Solution

The fourth proportional to 9,850.15, 13,602.15 and 7,331.34 is: 10,123.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,850.15 : 13,602.15 = 7,331.34 : x
  2. Step 2: Convert to fraction form
    9,850.15/13,602.15 = 7,331.34/x
  3. Step 3: Cross multiply
    9,850.15x = 13,602.15 × 7,331.34
  4. Step 4: Simplify right side
    9,850.15x = 99,721,986.38
  5. Step 5: Solve for x
    x = 99,721,986.38/9,850.15
  6. Step 6: Final answer
    x = 10,123.91

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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.