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Finding the Fourth Proportional to 36,908.16, 55,362.24 and 9,206.40

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Solution

The fourth proportional to 36,908.16, 55,362.24 and 9,206.40 is: 13,809.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,908.16 : 55,362.24 = 9,206.40 : x
  2. Step 2: Convert to fraction form
    36,908.16/55,362.24 = 9,206.40/x
  3. Step 3: Cross multiply
    36,908.16x = 55,362.24 × 9,206.40
  4. Step 4: Simplify right side
    36,908.16x = 509,686,926.34
  5. Step 5: Solve for x
    x = 509,686,926.34/36,908.16
  6. Step 6: Final answer
    x = 13,809.60

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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.