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Finding the Fourth Proportional to 9,502.41, 13,110.11 and 6,149.46

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Solution

The fourth proportional to 9,502.41, 13,110.11 and 6,149.46 is: 8,484.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.41 : 13,110.11 = 6,149.46 : x
  2. Step 2: Convert to fraction form
    9,502.41/13,110.11 = 6,149.46/x
  3. Step 3: Cross multiply
    9,502.41x = 13,110.11 × 6,149.46
  4. Step 4: Simplify right side
    9,502.41x = 80,620,097.04
  5. Step 5: Solve for x
    x = 80,620,097.04/9,502.41
  6. Step 6: Final answer
    x = 8,484.17

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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.