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Finding the Fourth Proportional to 9,716.77, 14,565.91 and 6,196.89

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Solution

The fourth proportional to 9,716.77, 14,565.91 and 6,196.89 is: 9,289.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,716.77 : 14,565.91 = 6,196.89 : x
  2. Step 2: Convert to fraction form
    9,716.77/14,565.91 = 6,196.89/x
  3. Step 3: Cross multiply
    9,716.77x = 14,565.91 × 6,196.89
  4. Step 4: Simplify right side
    9,716.77x = 90,263,342.02
  5. Step 5: Solve for x
    x = 90,263,342.02/9,716.77
  6. Step 6: Final answer
    x = 9,289.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.