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Finding the Fourth Proportional to 9,561.49, 14,331.46 and 4,868.32

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Solution

The fourth proportional to 9,561.49, 14,331.46 and 4,868.32 is: 7,296.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,561.49 : 14,331.46 = 4,868.32 : x
  2. Step 2: Convert to fraction form
    9,561.49/14,331.46 = 4,868.32/x
  3. Step 3: Cross multiply
    9,561.49x = 14,331.46 × 4,868.32
  4. Step 4: Simplify right side
    9,561.49x = 69,770,133.35
  5. Step 5: Solve for x
    x = 69,770,133.35/9,561.49
  6. Step 6: Final answer
    x = 7,296.99

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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.