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Finding the Fourth Proportional to 9,489.75, 13,095.99 and 5,298

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Solution

The fourth proportional to 9,489.75, 13,095.99 and 5,298 is: 7,311.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,489.75 : 13,095.99 = 5,298 : x
  2. Step 2: Convert to fraction form
    9,489.75/13,095.99 = 5,298/x
  3. Step 3: Cross multiply
    9,489.75x = 13,095.99 × 5,298
  4. Step 4: Simplify right side
    9,489.75x = 69,382,555.02
  5. Step 5: Solve for x
    x = 69,382,555.02/9,489.75
  6. Step 6: Final answer
    x = 7,311.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.