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Finding the Fourth Proportional to 9,561.27, 13,194.53 and 5,312.31

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Solution

The fourth proportional to 9,561.27, 13,194.53 and 5,312.31 is: 7,330.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,561.27 : 13,194.53 = 5,312.31 : x
  2. Step 2: Convert to fraction form
    9,561.27/13,194.53 = 5,312.31/x
  3. Step 3: Cross multiply
    9,561.27x = 13,194.53 × 5,312.31
  4. Step 4: Simplify right side
    9,561.27x = 70,093,433.66
  5. Step 5: Solve for x
    x = 70,093,433.66/9,561.27
  6. Step 6: Final answer
    x = 7,330.98

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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.