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Finding the Fourth Proportional to 9,561.61, 13,194.24 and 5,312.80

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Solution

The fourth proportional to 9,561.61, 13,194.24 and 5,312.80 is: 7,331.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,561.61 : 13,194.24 = 5,312.80 : x
  2. Step 2: Convert to fraction form
    9,561.61/13,194.24 = 5,312.80/x
  3. Step 3: Cross multiply
    9,561.61x = 13,194.24 × 5,312.80
  4. Step 4: Simplify right side
    9,561.61x = 70,098,358.27
  5. Step 5: Solve for x
    x = 70,098,358.27/9,561.61
  6. Step 6: Final answer
    x = 7,331.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.