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Finding the Fourth Proportional to 7,165.81, 9,888.96 and 4,022.02

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Solution

The fourth proportional to 7,165.81, 9,888.96 and 4,022.02 is: 5,550.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,165.81 : 9,888.96 = 4,022.02 : x
  2. Step 2: Convert to fraction form
    7,165.81/9,888.96 = 4,022.02/x
  3. Step 3: Cross multiply
    7,165.81x = 9,888.96 × 4,022.02
  4. Step 4: Simplify right side
    7,165.81x = 39,773,594.90
  5. Step 5: Solve for x
    x = 39,773,594.90/7,165.81
  6. Step 6: Final answer
    x = 5,550.47

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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.