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Finding the Fourth Proportional to 9,205.74, 12,701.70 and 5,428.61

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Solution

The fourth proportional to 9,205.74, 12,701.70 and 5,428.61 is: 7,490.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.74 : 12,701.70 = 5,428.61 : x
  2. Step 2: Convert to fraction form
    9,205.74/12,701.70 = 5,428.61/x
  3. Step 3: Cross multiply
    9,205.74x = 12,701.70 × 5,428.61
  4. Step 4: Simplify right side
    9,205.74x = 68,952,512.13
  5. Step 5: Solve for x
    x = 68,952,512.13/9,205.74
  6. Step 6: Final answer
    x = 7,490.17

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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.