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Finding the Fourth Proportional to 6,561.11, 9,051.47 and 4,169.80

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Solution

The fourth proportional to 6,561.11, 9,051.47 and 4,169.80 is: 5,752.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,561.11 : 9,051.47 = 4,169.80 : x
  2. Step 2: Convert to fraction form
    6,561.11/9,051.47 = 4,169.80/x
  3. Step 3: Cross multiply
    6,561.11x = 9,051.47 × 4,169.80
  4. Step 4: Simplify right side
    6,561.11x = 37,742,811.98
  5. Step 5: Solve for x
    x = 37,742,811.98/6,561.11
  6. Step 6: Final answer
    x = 5,752.51

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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.