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Finding the Fourth Proportional to 8,912.16, 13,368.18 and 6,966

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Solution

The fourth proportional to 8,912.16, 13,368.18 and 6,966 is: 10,448.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,912.16 : 13,368.18 = 6,966 : x
  2. Step 2: Convert to fraction form
    8,912.16/13,368.18 = 6,966/x
  3. Step 3: Cross multiply
    8,912.16x = 13,368.18 × 6,966
  4. Step 4: Simplify right side
    8,912.16x = 93,122,741.88
  5. Step 5: Solve for x
    x = 93,122,741.88/8,912.16
  6. Step 6: Final answer
    x = 10,448.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.