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Finding the Fourth Proportional to 9,489.75, 13,095.72 and 5,513.10

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Solution

The fourth proportional to 9,489.75, 13,095.72 and 5,513.10 is: 7,608.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,489.75 : 13,095.72 = 5,513.10 : x
  2. Step 2: Convert to fraction form
    9,489.75/13,095.72 = 5,513.10/x
  3. Step 3: Cross multiply
    9,489.75x = 13,095.72 × 5,513.10
  4. Step 4: Simplify right side
    9,489.75x = 72,198,013.93
  5. Step 5: Solve for x
    x = 72,198,013.93/9,489.75
  6. Step 6: Final answer
    x = 7,608.00

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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.