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Finding the Fourth Proportional to 9,206.88, 12,705.82 and 6,374.84

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Solution

The fourth proportional to 9,206.88, 12,705.82 and 6,374.84 is: 8,797.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206.88 : 12,705.82 = 6,374.84 : x
  2. Step 2: Convert to fraction form
    9,206.88/12,705.82 = 6,374.84/x
  3. Step 3: Cross multiply
    9,206.88x = 12,705.82 × 6,374.84
  4. Step 4: Simplify right side
    9,206.88x = 80,997,569.57
  5. Step 5: Solve for x
    x = 80,997,569.57/9,206.88
  6. Step 6: Final answer
    x = 8,797.50

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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.