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Finding the Fourth Proportional to 9,205.71, 12,705.13 and 5,429.94

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Solution

The fourth proportional to 9,205.71, 12,705.13 and 5,429.94 is: 7,494.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.71 : 12,705.13 = 5,429.94 : x
  2. Step 2: Convert to fraction form
    9,205.71/12,705.13 = 5,429.94/x
  3. Step 3: Cross multiply
    9,205.71x = 12,705.13 × 5,429.94
  4. Step 4: Simplify right side
    9,205.71x = 68,988,093.59
  5. Step 5: Solve for x
    x = 68,988,093.59/9,205.71
  6. Step 6: Final answer
    x = 7,494.05

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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.