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Finding the Fourth Proportional to 9,420.93, 12,968.25 and 8,144.22

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Solution

The fourth proportional to 9,420.93, 12,968.25 and 8,144.22 is: 11,210.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,420.93 : 12,968.25 = 8,144.22 : x
  2. Step 2: Convert to fraction form
    9,420.93/12,968.25 = 8,144.22/x
  3. Step 3: Cross multiply
    9,420.93x = 12,968.25 × 8,144.22
  4. Step 4: Simplify right side
    9,420.93x = 105,616,216.17
  5. Step 5: Solve for x
    x = 105,616,216.17/9,420.93
  6. Step 6: Final answer
    x = 11,210.81

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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.