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Finding the Fourth Proportional to 6,436.93, 8,882.49 and 3,603.65

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Solution

The fourth proportional to 6,436.93, 8,882.49 and 3,603.65 is: 4,972.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,436.93 : 8,882.49 = 3,603.65 : x
  2. Step 2: Convert to fraction form
    6,436.93/8,882.49 = 3,603.65/x
  3. Step 3: Cross multiply
    6,436.93x = 8,882.49 × 3,603.65
  4. Step 4: Simplify right side
    6,436.93x = 32,009,385.09
  5. Step 5: Solve for x
    x = 32,009,385.09/6,436.93
  6. Step 6: Final answer
    x = 4,972.77

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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.