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Finding the Fourth Proportional to 9,414.42, 12,984.72 and 6,895.62

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Solution

The fourth proportional to 9,414.42, 12,984.72 and 6,895.62 is: 9,510.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,414.42 : 12,984.72 = 6,895.62 : x
  2. Step 2: Convert to fraction form
    9,414.42/12,984.72 = 6,895.62/x
  3. Step 3: Cross multiply
    9,414.42x = 12,984.72 × 6,895.62
  4. Step 4: Simplify right side
    9,414.42x = 89,537,694.93
  5. Step 5: Solve for x
    x = 89,537,694.93/9,414.42
  6. Step 6: Final answer
    x = 9,510.70

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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.