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Finding the Fourth Proportional to 9,553.65, 13,184.87 and 5,305.53

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Solution

The fourth proportional to 9,553.65, 13,184.87 and 5,305.53 is: 7,322.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,553.65 : 13,184.87 = 5,305.53 : x
  2. Step 2: Convert to fraction form
    9,553.65/13,184.87 = 5,305.53/x
  3. Step 3: Cross multiply
    9,553.65x = 13,184.87 × 5,305.53
  4. Step 4: Simplify right side
    9,553.65x = 69,952,696.80
  5. Step 5: Solve for x
    x = 69,952,696.80/9,553.65
  6. Step 6: Final answer
    x = 7,322.09

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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.