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Finding the Fourth Proportional to 6,394.62, 9,580.59 and 4,443.06

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Solution

The fourth proportional to 6,394.62, 9,580.59 and 4,443.06 is: 6,656.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,394.62 : 9,580.59 = 4,443.06 : x
  2. Step 2: Convert to fraction form
    6,394.62/9,580.59 = 4,443.06/x
  3. Step 3: Cross multiply
    6,394.62x = 9,580.59 × 4,443.06
  4. Step 4: Simplify right side
    6,394.62x = 42,567,136.21
  5. Step 5: Solve for x
    x = 42,567,136.21/6,394.62
  6. Step 6: Final answer
    x = 6,656.71

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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.