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Finding the Fourth Proportional to 9,315.66, 12,855.56 and 5,283.26

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Solution

The fourth proportional to 9,315.66, 12,855.56 and 5,283.26 is: 7,290.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,315.66 : 12,855.56 = 5,283.26 : x
  2. Step 2: Convert to fraction form
    9,315.66/12,855.56 = 5,283.26/x
  3. Step 3: Cross multiply
    9,315.66x = 12,855.56 × 5,283.26
  4. Step 4: Simplify right side
    9,315.66x = 67,919,223.44
  5. Step 5: Solve for x
    x = 67,919,223.44/9,315.66
  6. Step 6: Final answer
    x = 7,290.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.