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Finding the Fourth Proportional to 9,521.85, 14,286.42 and 3,973.62

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Solution

The fourth proportional to 9,521.85, 14,286.42 and 3,973.62 is: 5,961.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,521.85 : 14,286.42 = 3,973.62 : x
  2. Step 2: Convert to fraction form
    9,521.85/14,286.42 = 3,973.62/x
  3. Step 3: Cross multiply
    9,521.85x = 14,286.42 × 3,973.62
  4. Step 4: Simplify right side
    9,521.85x = 56,768,804.24
  5. Step 5: Solve for x
    x = 56,768,804.24/9,521.85
  6. Step 6: Final answer
    x = 5,961.95

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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.