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Finding the Fourth Proportional to 6,553.36, 9,830.08 and 1,936.32

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Solution

The fourth proportional to 6,553.36, 9,830.08 and 1,936.32 is: 2,904.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,553.36 : 9,830.08 = 1,936.32 : x
  2. Step 2: Convert to fraction form
    6,553.36/9,830.08 = 1,936.32/x
  3. Step 3: Cross multiply
    6,553.36x = 9,830.08 × 1,936.32
  4. Step 4: Simplify right side
    6,553.36x = 19,034,180.51
  5. Step 5: Solve for x
    x = 19,034,180.51/6,553.36
  6. Step 6: Final answer
    x = 2,904.49

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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.