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Finding the Fourth Proportional to 9,684.37, 14,531.46 and 7,224.13

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Solution

The fourth proportional to 9,684.37, 14,531.46 and 7,224.13 is: 10,839.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684.37 : 14,531.46 = 7,224.13 : x
  2. Step 2: Convert to fraction form
    9,684.37/14,531.46 = 7,224.13/x
  3. Step 3: Cross multiply
    9,684.37x = 14,531.46 × 7,224.13
  4. Step 4: Simplify right side
    9,684.37x = 104,977,156.13
  5. Step 5: Solve for x
    x = 104,977,156.13/9,684.37
  6. Step 6: Final answer
    x = 10,839.85

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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.