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Finding the Fourth Proportional to 6,012.36, 9,031.56 and 5,089.80

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Solution

The fourth proportional to 6,012.36, 9,031.56 and 5,089.80 is: 7,645.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,012.36 : 9,031.56 = 5,089.80 : x
  2. Step 2: Convert to fraction form
    6,012.36/9,031.56 = 5,089.80/x
  3. Step 3: Cross multiply
    6,012.36x = 9,031.56 × 5,089.80
  4. Step 4: Simplify right side
    6,012.36x = 45,968,834.09
  5. Step 5: Solve for x
    x = 45,968,834.09/6,012.36
  6. Step 6: Final answer
    x = 7,645.72

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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.