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Finding the Fourth Proportional to 6,603.36, 9,112.32 and 3,809.76

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Solution

The fourth proportional to 6,603.36, 9,112.32 and 3,809.76 is: 5,257.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,603.36 : 9,112.32 = 3,809.76 : x
  2. Step 2: Convert to fraction form
    6,603.36/9,112.32 = 3,809.76/x
  3. Step 3: Cross multiply
    6,603.36x = 9,112.32 × 3,809.76
  4. Step 4: Simplify right side
    6,603.36x = 34,715,752.24
  5. Step 5: Solve for x
    x = 34,715,752.24/6,603.36
  6. Step 6: Final answer
    x = 5,257.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.