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Finding the Fourth Proportional to 6,444.52, 9,668 and 2,284.06

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Solution

The fourth proportional to 6,444.52, 9,668 and 2,284.06 is: 3,426.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,444.52 : 9,668 = 2,284.06 : x
  2. Step 2: Convert to fraction form
    6,444.52/9,668 = 2,284.06/x
  3. Step 3: Cross multiply
    6,444.52x = 9,668 × 2,284.06
  4. Step 4: Simplify right side
    6,444.52x = 22,082,292.08
  5. Step 5: Solve for x
    x = 22,082,292.08/6,444.52
  6. Step 6: Final answer
    x = 3,426.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.