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Finding the Fourth Proportional to 9,565.78, 14,349.93 and 3,326.27

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Solution

The fourth proportional to 9,565.78, 14,349.93 and 3,326.27 is: 4,989.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,565.78 : 14,349.93 = 3,326.27 : x
  2. Step 2: Convert to fraction form
    9,565.78/14,349.93 = 3,326.27/x
  3. Step 3: Cross multiply
    9,565.78x = 14,349.93 × 3,326.27
  4. Step 4: Simplify right side
    9,565.78x = 47,731,657.44
  5. Step 5: Solve for x
    x = 47,731,657.44/9,565.78
  6. Step 6: Final answer
    x = 4,989.83

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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.