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Finding the Fourth Proportional to 7,066.29, 9,752.25 and 4,041.69

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Solution

The fourth proportional to 7,066.29, 9,752.25 and 4,041.69 is: 5,577.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,066.29 : 9,752.25 = 4,041.69 : x
  2. Step 2: Convert to fraction form
    7,066.29/9,752.25 = 4,041.69/x
  3. Step 3: Cross multiply
    7,066.29x = 9,752.25 × 4,041.69
  4. Step 4: Simplify right side
    7,066.29x = 39,415,571.30
  5. Step 5: Solve for x
    x = 39,415,571.30/7,066.29
  6. Step 6: Final answer
    x = 5,577.97

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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.