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Finding the Fourth Proportional to 6,536.96, 9,803.70 and 2,838.33

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Solution

The fourth proportional to 6,536.96, 9,803.70 and 2,838.33 is: 4,256.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,536.96 : 9,803.70 = 2,838.33 : x
  2. Step 2: Convert to fraction form
    6,536.96/9,803.70 = 2,838.33/x
  3. Step 3: Cross multiply
    6,536.96x = 9,803.70 × 2,838.33
  4. Step 4: Simplify right side
    6,536.96x = 27,826,135.82
  5. Step 5: Solve for x
    x = 27,826,135.82/6,536.96
  6. Step 6: Final answer
    x = 4,256.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.