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Finding the Fourth Proportional to 9,517.42, 13,134.06 and 5,210.52

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Solution

The fourth proportional to 9,517.42, 13,134.06 and 5,210.52 is: 7,190.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,517.42 : 13,134.06 = 5,210.52 : x
  2. Step 2: Convert to fraction form
    9,517.42/13,134.06 = 5,210.52/x
  3. Step 3: Cross multiply
    9,517.42x = 13,134.06 × 5,210.52
  4. Step 4: Simplify right side
    9,517.42x = 68,435,282.31
  5. Step 5: Solve for x
    x = 68,435,282.31/9,517.42
  6. Step 6: Final answer
    x = 7,190.53

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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.