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Finding the Fourth Proportional to 6,574.14, 9,069.03 and 4,214.52

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Solution

The fourth proportional to 6,574.14, 9,069.03 and 4,214.52 is: 5,813.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574.14 : 9,069.03 = 4,214.52 : x
  2. Step 2: Convert to fraction form
    6,574.14/9,069.03 = 4,214.52/x
  3. Step 3: Cross multiply
    6,574.14x = 9,069.03 × 4,214.52
  4. Step 4: Simplify right side
    6,574.14x = 38,221,608.32
  5. Step 5: Solve for x
    x = 38,221,608.32/6,574.14
  6. Step 6: Final answer
    x = 5,813.93

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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.