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Finding the Fourth Proportional to 9,202.51, 13,792.98 and 3,935.99

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Solution

The fourth proportional to 9,202.51, 13,792.98 and 3,935.99 is: 5,899.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.51 : 13,792.98 = 3,935.99 : x
  2. Step 2: Convert to fraction form
    9,202.51/13,792.98 = 3,935.99/x
  3. Step 3: Cross multiply
    9,202.51x = 13,792.98 × 3,935.99
  4. Step 4: Simplify right side
    9,202.51x = 54,289,080.59
  5. Step 5: Solve for x
    x = 54,289,080.59/9,202.51
  6. Step 6: Final answer
    x = 5,899.38

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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.