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Finding the Fourth Proportional to 6,574.72, 9,068.36 and 4,182.33

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Solution

The fourth proportional to 6,574.72, 9,068.36 and 4,182.33 is: 5,768.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574.72 : 9,068.36 = 4,182.33 : x
  2. Step 2: Convert to fraction form
    6,574.72/9,068.36 = 4,182.33/x
  3. Step 3: Cross multiply
    6,574.72x = 9,068.36 × 4,182.33
  4. Step 4: Simplify right side
    6,574.72x = 37,926,887.17
  5. Step 5: Solve for x
    x = 37,926,887.17/6,574.72
  6. Step 6: Final answer
    x = 5,768.59

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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.