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Finding the Fourth Proportional to 10,358.78, 14,195.51 and 9,362.30

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Solution

The fourth proportional to 10,358.78, 14,195.51 and 9,362.30 is: 12,829.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,358.78 : 14,195.51 = 9,362.30 : x
  2. Step 2: Convert to fraction form
    10,358.78/14,195.51 = 9,362.30/x
  3. Step 3: Cross multiply
    10,358.78x = 14,195.51 × 9,362.30
  4. Step 4: Simplify right side
    10,358.78x = 132,902,505.48
  5. Step 5: Solve for x
    x = 132,902,505.48/10,358.78
  6. Step 6: Final answer
    x = 12,829.94

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.