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Finding the Fourth Proportional to 9,985.20, 14,912.94 and 9,389.04

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Solution

The fourth proportional to 9,985.20, 14,912.94 and 9,389.04 is: 14,022.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,985.20 : 14,912.94 = 9,389.04 : x
  2. Step 2: Convert to fraction form
    9,985.20/14,912.94 = 9,389.04/x
  3. Step 3: Cross multiply
    9,985.20x = 14,912.94 × 9,389.04
  4. Step 4: Simplify right side
    9,985.20x = 140,018,190.18
  5. Step 5: Solve for x
    x = 140,018,190.18/9,985.20
  6. Step 6: Final answer
    x = 14,022.57

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.