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Finding the Fourth Proportional to 9,790.43, 13,510.74 and 5,314.14

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Solution

The fourth proportional to 9,790.43, 13,510.74 and 5,314.14 is: 7,333.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,790.43 : 13,510.74 = 5,314.14 : x
  2. Step 2: Convert to fraction form
    9,790.43/13,510.74 = 5,314.14/x
  3. Step 3: Cross multiply
    9,790.43x = 13,510.74 × 5,314.14
  4. Step 4: Simplify right side
    9,790.43x = 71,797,953.90
  5. Step 5: Solve for x
    x = 71,797,953.90/9,790.43
  6. Step 6: Final answer
    x = 7,333.49

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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.