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Finding the Fourth Proportional to 9,790.44, 13,510.90 and 5,314.23

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Solution

The fourth proportional to 9,790.44, 13,510.90 and 5,314.23 is: 7,333.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,790.44 : 13,510.90 = 5,314.23 : x
  2. Step 2: Convert to fraction form
    9,790.44/13,510.90 = 5,314.23/x
  3. Step 3: Cross multiply
    9,790.44x = 13,510.90 × 5,314.23
  4. Step 4: Simplify right side
    9,790.44x = 71,799,962.55
  5. Step 5: Solve for x
    x = 71,799,962.55/9,790.44
  6. Step 6: Final answer
    x = 7,333.68

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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.