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Finding the Fourth Proportional to 6,284.69, 9,431.59 and 5,066.80

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Solution

The fourth proportional to 6,284.69, 9,431.59 and 5,066.80 is: 7,603.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,284.69 : 9,431.59 = 5,066.80 : x
  2. Step 2: Convert to fraction form
    6,284.69/9,431.59 = 5,066.80/x
  3. Step 3: Cross multiply
    6,284.69x = 9,431.59 × 5,066.80
  4. Step 4: Simplify right side
    6,284.69x = 47,788,006.52
  5. Step 5: Solve for x
    x = 47,788,006.52/6,284.69
  6. Step 6: Final answer
    x = 7,603.88

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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.