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Finding the Fourth Proportional to 9,561.06, 13,194.35 and 5,581.40

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Solution

The fourth proportional to 9,561.06, 13,194.35 and 5,581.40 is: 7,702.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,561.06 : 13,194.35 = 5,581.40 : x
  2. Step 2: Convert to fraction form
    9,561.06/13,194.35 = 5,581.40/x
  3. Step 3: Cross multiply
    9,561.06x = 13,194.35 × 5,581.40
  4. Step 4: Simplify right side
    9,561.06x = 73,642,945.09
  5. Step 5: Solve for x
    x = 73,642,945.09/9,561.06
  6. Step 6: Final answer
    x = 7,702.38

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Why These Related Problems?

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