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Finding the Fourth Proportional to 9,623.67, 13,288.17 and 7,381.98

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Solution

The fourth proportional to 9,623.67, 13,288.17 and 7,381.98 is: 10,192.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,623.67 : 13,288.17 = 7,381.98 : x
  2. Step 2: Convert to fraction form
    9,623.67/13,288.17 = 7,381.98/x
  3. Step 3: Cross multiply
    9,623.67x = 13,288.17 × 7,381.98
  4. Step 4: Simplify right side
    9,623.67x = 98,093,005.18
  5. Step 5: Solve for x
    x = 98,093,005.18/9,623.67
  6. Step 6: Final answer
    x = 10,192.89

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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.