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Finding the Fourth Proportional to 9,487.45, 14,233.02 and 3,643.63

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Solution

The fourth proportional to 9,487.45, 14,233.02 and 3,643.63 is: 5,466.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,487.45 : 14,233.02 = 3,643.63 : x
  2. Step 2: Convert to fraction form
    9,487.45/14,233.02 = 3,643.63/x
  3. Step 3: Cross multiply
    9,487.45x = 14,233.02 × 3,643.63
  4. Step 4: Simplify right side
    9,487.45x = 51,859,858.66
  5. Step 5: Solve for x
    x = 51,859,858.66/9,487.45
  6. Step 6: Final answer
    x = 5,466.15

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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.