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Finding the Fourth Proportional to 9,686.77, 13,367.96 and 5,495.02

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Solution

The fourth proportional to 9,686.77, 13,367.96 and 5,495.02 is: 7,583.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.77 : 13,367.96 = 5,495.02 : x
  2. Step 2: Convert to fraction form
    9,686.77/13,367.96 = 5,495.02/x
  3. Step 3: Cross multiply
    9,686.77x = 13,367.96 × 5,495.02
  4. Step 4: Simplify right side
    9,686.77x = 73,457,207.56
  5. Step 5: Solve for x
    x = 73,457,207.56/9,686.77
  6. Step 6: Final answer
    x = 7,583.25

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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.