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Finding the Fourth Proportional to 9,343.76, 12,894.39 and 5,566.83

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Solution

The fourth proportional to 9,343.76, 12,894.39 and 5,566.83 is: 7,682.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,343.76 : 12,894.39 = 5,566.83 : x
  2. Step 2: Convert to fraction form
    9,343.76/12,894.39 = 5,566.83/x
  3. Step 3: Cross multiply
    9,343.76x = 12,894.39 × 5,566.83
  4. Step 4: Simplify right side
    9,343.76x = 71,780,828.73
  5. Step 5: Solve for x
    x = 71,780,828.73/9,343.76
  6. Step 6: Final answer
    x = 7,682.23

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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.