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Finding the Fourth Proportional to 9,920.89, 14,940.74 and 9,035.16

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Solution

The fourth proportional to 9,920.89, 14,940.74 and 9,035.16 is: 13,606.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,920.89 : 14,940.74 = 9,035.16 : x
  2. Step 2: Convert to fraction form
    9,920.89/14,940.74 = 9,035.16/x
  3. Step 3: Cross multiply
    9,920.89x = 14,940.74 × 9,035.16
  4. Step 4: Simplify right side
    9,920.89x = 134,991,976.42
  5. Step 5: Solve for x
    x = 134,991,976.42/9,920.89
  6. Step 6: Final answer
    x = 13,606.84

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.