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Finding the Fourth Proportional to 6,559.14, 9,051.34 and 3,574.91

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Solution

The fourth proportional to 6,559.14, 9,051.34 and 3,574.91 is: 4,933.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,559.14 : 9,051.34 = 3,574.91 : x
  2. Step 2: Convert to fraction form
    6,559.14/9,051.34 = 3,574.91/x
  3. Step 3: Cross multiply
    6,559.14x = 9,051.34 × 3,574.91
  4. Step 4: Simplify right side
    6,559.14x = 32,357,685.09
  5. Step 5: Solve for x
    x = 32,357,685.09/6,559.14
  6. Step 6: Final answer
    x = 4,933.22

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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.