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Finding the Fourth Proportional to 9,623.67, 13,279.74 and 5,374.41

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Solution

The fourth proportional to 9,623.67, 13,279.74 and 5,374.41 is: 7,416.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,623.67 : 13,279.74 = 5,374.41 : x
  2. Step 2: Convert to fraction form
    9,623.67/13,279.74 = 5,374.41/x
  3. Step 3: Cross multiply
    9,623.67x = 13,279.74 × 5,374.41
  4. Step 4: Simplify right side
    9,623.67x = 71,370,767.45
  5. Step 5: Solve for x
    x = 71,370,767.45/9,623.67
  6. Step 6: Final answer
    x = 7,416.17

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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.