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Finding the Fourth Proportional to 9,740.97, 13,426.74 and 7,612.74

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Solution

The fourth proportional to 9,740.97, 13,426.74 and 7,612.74 is: 10,493.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,740.97 : 13,426.74 = 7,612.74 : x
  2. Step 2: Convert to fraction form
    9,740.97/13,426.74 = 7,612.74/x
  3. Step 3: Cross multiply
    9,740.97x = 13,426.74 × 7,612.74
  4. Step 4: Simplify right side
    9,740.97x = 102,214,280.67
  5. Step 5: Solve for x
    x = 102,214,280.67/9,740.97
  6. Step 6: Final answer
    x = 10,493.23

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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.