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Finding the Fourth Proportional to 9,646.20, 13,309.94 and 5,866.36

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Solution

The fourth proportional to 9,646.20, 13,309.94 and 5,866.36 is: 8,094.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646.20 : 13,309.94 = 5,866.36 : x
  2. Step 2: Convert to fraction form
    9,646.20/13,309.94 = 5,866.36/x
  3. Step 3: Cross multiply
    9,646.20x = 13,309.94 × 5,866.36
  4. Step 4: Simplify right side
    9,646.20x = 78,080,899.62
  5. Step 5: Solve for x
    x = 78,080,899.62/9,646.20
  6. Step 6: Final answer
    x = 8,094.47

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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.