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Finding the Fourth Proportional to 9,968.16, 13,754.16 and 6,823.20

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Solution

The fourth proportional to 9,968.16, 13,754.16 and 6,823.20 is: 9,414.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,968.16 : 13,754.16 = 6,823.20 : x
  2. Step 2: Convert to fraction form
    9,968.16/13,754.16 = 6,823.20/x
  3. Step 3: Cross multiply
    9,968.16x = 13,754.16 × 6,823.20
  4. Step 4: Simplify right side
    9,968.16x = 93,847,384.51
  5. Step 5: Solve for x
    x = 93,847,384.51/9,968.16
  6. Step 6: Final answer
    x = 9,414.71

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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.