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Finding the Fourth Proportional to 9,536.68, 13,155.94 and 8,275.97

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Solution

The fourth proportional to 9,536.68, 13,155.94 and 8,275.97 is: 11,416.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,536.68 : 13,155.94 = 8,275.97 : x
  2. Step 2: Convert to fraction form
    9,536.68/13,155.94 = 8,275.97/x
  3. Step 3: Cross multiply
    9,536.68x = 13,155.94 × 8,275.97
  4. Step 4: Simplify right side
    9,536.68x = 108,878,098.98
  5. Step 5: Solve for x
    x = 108,878,098.98/9,536.68
  6. Step 6: Final answer
    x = 11,416.77

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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.