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Finding the Fourth Proportional to 9,340.94, 12,872.78 and 6,683.74

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Solution

The fourth proportional to 9,340.94, 12,872.78 and 6,683.74 is: 9,210.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,340.94 : 12,872.78 = 6,683.74 : x
  2. Step 2: Convert to fraction form
    9,340.94/12,872.78 = 6,683.74/x
  3. Step 3: Cross multiply
    9,340.94x = 12,872.78 × 6,683.74
  4. Step 4: Simplify right side
    9,340.94x = 86,038,314.60
  5. Step 5: Solve for x
    x = 86,038,314.60/9,340.94
  6. Step 6: Final answer
    x = 9,210.88

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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.