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Finding the Fourth Proportional to 9,568.34, 14,355.23 and 3,726.62

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Solution

The fourth proportional to 9,568.34, 14,355.23 and 3,726.62 is: 5,590.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,568.34 : 14,355.23 = 3,726.62 : x
  2. Step 2: Convert to fraction form
    9,568.34/14,355.23 = 3,726.62/x
  3. Step 3: Cross multiply
    9,568.34x = 14,355.23 × 3,726.62
  4. Step 4: Simplify right side
    9,568.34x = 53,496,396.81
  5. Step 5: Solve for x
    x = 53,496,396.81/9,568.34
  6. Step 6: Final answer
    x = 5,590.98

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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.