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Finding the Fourth Proportional to 9,798.92, 13,522.72 and 5,550

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Solution

The fourth proportional to 9,798.92, 13,522.72 and 5,550 is: 7,659.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,798.92 : 13,522.72 = 5,550 : x
  2. Step 2: Convert to fraction form
    9,798.92/13,522.72 = 5,550/x
  3. Step 3: Cross multiply
    9,798.92x = 13,522.72 × 5,550
  4. Step 4: Simplify right side
    9,798.92x = 75,051,096
  5. Step 5: Solve for x
    x = 75,051,096/9,798.92
  6. Step 6: Final answer
    x = 7,659.12

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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.