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Finding the Fourth Proportional to 9,866.22, 13,619.16 and 6,090

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Solution

The fourth proportional to 9,866.22, 13,619.16 and 6,090 is: 8,406.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,866.22 : 13,619.16 = 6,090 : x
  2. Step 2: Convert to fraction form
    9,866.22/13,619.16 = 6,090/x
  3. Step 3: Cross multiply
    9,866.22x = 13,619.16 × 6,090
  4. Step 4: Simplify right side
    9,866.22x = 82,940,684.40
  5. Step 5: Solve for x
    x = 82,940,684.40/9,866.22
  6. Step 6: Final answer
    x = 8,406.53

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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.