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Finding the Fourth Proportional to 9,565.66, 14,349.36 and 3,722.70

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Solution

The fourth proportional to 9,565.66, 14,349.36 and 3,722.70 is: 5,584.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,565.66 : 14,349.36 = 3,722.70 : x
  2. Step 2: Convert to fraction form
    9,565.66/14,349.36 = 3,722.70/x
  3. Step 3: Cross multiply
    9,565.66x = 14,349.36 × 3,722.70
  4. Step 4: Simplify right side
    9,565.66x = 53,418,362.47
  5. Step 5: Solve for x
    x = 53,418,362.47/9,565.66
  6. Step 6: Final answer
    x = 5,584.39

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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.