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Finding the Fourth Proportional to 6,004.07, 9,006.23 and 4,772.33

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Solution

The fourth proportional to 6,004.07, 9,006.23 and 4,772.33 is: 7,158.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,004.07 : 9,006.23 = 4,772.33 : x
  2. Step 2: Convert to fraction form
    6,004.07/9,006.23 = 4,772.33/x
  3. Step 3: Cross multiply
    6,004.07x = 9,006.23 × 4,772.33
  4. Step 4: Simplify right side
    6,004.07x = 42,980,668.52
  5. Step 5: Solve for x
    x = 42,980,668.52/6,004.07
  6. Step 6: Final answer
    x = 7,158.59

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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.