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Finding the Fourth Proportional to 9,954.91, 13,738.14 and 5,479

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Solution

The fourth proportional to 9,954.91, 13,738.14 and 5,479 is: 7,561.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,954.91 : 13,738.14 = 5,479 : x
  2. Step 2: Convert to fraction form
    9,954.91/13,738.14 = 5,479/x
  3. Step 3: Cross multiply
    9,954.91x = 13,738.14 × 5,479
  4. Step 4: Simplify right side
    9,954.91x = 75,271,269.06
  5. Step 5: Solve for x
    x = 75,271,269.06/9,954.91
  6. Step 6: Final answer
    x = 7,561.22

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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.