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Finding the Fourth Proportional to 36,974.16, 55,456.92 and 9,270

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Solution

The fourth proportional to 36,974.16, 55,456.92 and 9,270 is: 13,903.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,974.16 : 55,456.92 = 9,270 : x
  2. Step 2: Convert to fraction form
    36,974.16/55,456.92 = 9,270/x
  3. Step 3: Cross multiply
    36,974.16x = 55,456.92 × 9,270
  4. Step 4: Simplify right side
    36,974.16x = 514,085,648.40
  5. Step 5: Solve for x
    x = 514,085,648.40/36,974.16
  6. Step 6: Final answer
    x = 13,903.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.