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Finding the Fourth Proportional to 9,623.79, 13,279.95 and 5,644.17

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Solution

The fourth proportional to 9,623.79, 13,279.95 and 5,644.17 is: 7,788.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,623.79 : 13,279.95 = 5,644.17 : x
  2. Step 2: Convert to fraction form
    9,623.79/13,279.95 = 5,644.17/x
  3. Step 3: Cross multiply
    9,623.79x = 13,279.95 × 5,644.17
  4. Step 4: Simplify right side
    9,623.79x = 74,954,295.39
  5. Step 5: Solve for x
    x = 74,954,295.39/9,623.79
  6. Step 6: Final answer
    x = 7,788.44

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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.