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Finding the Fourth Proportional to 9,499.89, 14,242.16 and 3,957.41

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Solution

The fourth proportional to 9,499.89, 14,242.16 and 3,957.41 is: 5,932.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,499.89 : 14,242.16 = 3,957.41 : x
  2. Step 2: Convert to fraction form
    9,499.89/14,242.16 = 3,957.41/x
  3. Step 3: Cross multiply
    9,499.89x = 14,242.16 × 3,957.41
  4. Step 4: Simplify right side
    9,499.89x = 56,362,020.66
  5. Step 5: Solve for x
    x = 56,362,020.66/9,499.89
  6. Step 6: Final answer
    x = 5,932.91

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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.