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Finding the Fourth Proportional to 9,656.52, 13,326.20 and 5,879.84

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Solution

The fourth proportional to 9,656.52, 13,326.20 and 5,879.84 is: 8,114.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,656.52 : 13,326.20 = 5,879.84 : x
  2. Step 2: Convert to fraction form
    9,656.52/13,326.20 = 5,879.84/x
  3. Step 3: Cross multiply
    9,656.52x = 13,326.20 × 5,879.84
  4. Step 4: Simplify right side
    9,656.52x = 78,355,908.25
  5. Step 5: Solve for x
    x = 78,355,908.25/9,656.52
  6. Step 6: Final answer
    x = 8,114.30

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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.