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Finding the Fourth Proportional to 9,623.54, 13,288.01 and 7,381.87

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Solution

The fourth proportional to 9,623.54, 13,288.01 and 7,381.87 is: 10,192.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,623.54 : 13,288.01 = 7,381.87 : x
  2. Step 2: Convert to fraction form
    9,623.54/13,288.01 = 7,381.87/x
  3. Step 3: Cross multiply
    9,623.54x = 13,288.01 × 7,381.87
  4. Step 4: Simplify right side
    9,623.54x = 98,090,362.38
  5. Step 5: Solve for x
    x = 98,090,362.38/9,623.54
  6. Step 6: Final answer
    x = 10,192.75

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Why These Related Problems?

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