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Finding the Fourth Proportional to 9,487.10, 14,233.84 and 5,973

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Solution

The fourth proportional to 9,487.10, 14,233.84 and 5,973 is: 8,961.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,487.10 : 14,233.84 = 5,973 : x
  2. Step 2: Convert to fraction form
    9,487.10/14,233.84 = 5,973/x
  3. Step 3: Cross multiply
    9,487.10x = 14,233.84 × 5,973
  4. Step 4: Simplify right side
    9,487.10x = 85,018,726.32
  5. Step 5: Solve for x
    x = 85,018,726.32/9,487.10
  6. Step 6: Final answer
    x = 8,961.51

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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.