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Finding the Fourth Proportional to 9,102.15, 13,653.87 and 3,553.65

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Solution

The fourth proportional to 9,102.15, 13,653.87 and 3,553.65 is: 5,330.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102.15 : 13,653.87 = 3,553.65 : x
  2. Step 2: Convert to fraction form
    9,102.15/13,653.87 = 3,553.65/x
  3. Step 3: Cross multiply
    9,102.15x = 13,653.87 × 3,553.65
  4. Step 4: Simplify right side
    9,102.15x = 48,521,075.13
  5. Step 5: Solve for x
    x = 48,521,075.13/9,102.15
  6. Step 6: Final answer
    x = 5,330.73

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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.