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Finding the Fourth Proportional to 9,555.82, 13,186.86 and 5,306.89

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Solution

The fourth proportional to 9,555.82, 13,186.86 and 5,306.89 is: 7,323.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,555.82 : 13,186.86 = 5,306.89 : x
  2. Step 2: Convert to fraction form
    9,555.82/13,186.86 = 5,306.89/x
  3. Step 3: Cross multiply
    9,555.82x = 13,186.86 × 5,306.89
  4. Step 4: Simplify right side
    9,555.82x = 69,981,215.47
  5. Step 5: Solve for x
    x = 69,981,215.47/9,555.82
  6. Step 6: Final answer
    x = 7,323.41

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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.