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Finding the Fourth Proportional to 8,923.52, 12,314.49 and 5,564.36

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Solution

The fourth proportional to 8,923.52, 12,314.49 and 5,564.36 is: 7,678.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,923.52 : 12,314.49 = 5,564.36 : x
  2. Step 2: Convert to fraction form
    8,923.52/12,314.49 = 5,564.36/x
  3. Step 3: Cross multiply
    8,923.52x = 12,314.49 × 5,564.36
  4. Step 4: Simplify right side
    8,923.52x = 68,522,255.58
  5. Step 5: Solve for x
    x = 68,522,255.58/8,923.52
  6. Step 6: Final answer
    x = 7,678.84

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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.