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Finding the Fourth Proportional to 9,814.77, 13,544.19 and 5,565.72

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Solution

The fourth proportional to 9,814.77, 13,544.19 and 5,565.72 is: 7,680.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814.77 : 13,544.19 = 5,565.72 : x
  2. Step 2: Convert to fraction form
    9,814.77/13,544.19 = 5,565.72/x
  3. Step 3: Cross multiply
    9,814.77x = 13,544.19 × 5,565.72
  4. Step 4: Simplify right side
    9,814.77x = 75,383,169.17
  5. Step 5: Solve for x
    x = 75,383,169.17/9,814.77
  6. Step 6: Final answer
    x = 7,680.58

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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.