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Finding the Fourth Proportional to 9,812.06, 13,540.50 and 5,335.96

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Solution

The fourth proportional to 9,812.06, 13,540.50 and 5,335.96 is: 7,363.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,812.06 : 13,540.50 = 5,335.96 : x
  2. Step 2: Convert to fraction form
    9,812.06/13,540.50 = 5,335.96/x
  3. Step 3: Cross multiply
    9,812.06x = 13,540.50 × 5,335.96
  4. Step 4: Simplify right side
    9,812.06x = 72,251,566.38
  5. Step 5: Solve for x
    x = 72,251,566.38/9,812.06
  6. Step 6: Final answer
    x = 7,363.55

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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.