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Finding the Fourth Proportional to 9,665.22, 13,338.86 and 5,887.48

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Solution

The fourth proportional to 9,665.22, 13,338.86 and 5,887.48 is: 8,125.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,665.22 : 13,338.86 = 5,887.48 : x
  2. Step 2: Convert to fraction form
    9,665.22/13,338.86 = 5,887.48/x
  3. Step 3: Cross multiply
    9,665.22x = 13,338.86 × 5,887.48
  4. Step 4: Simplify right side
    9,665.22x = 78,532,271.47
  5. Step 5: Solve for x
    x = 78,532,271.47/9,665.22
  6. Step 6: Final answer
    x = 8,125.24

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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.