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Finding the Fourth Proportional to 9,283.17, 12,739.74 and 9,217.56

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Solution

The fourth proportional to 9,283.17, 12,739.74 and 9,217.56 is: 12,649.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,283.17 : 12,739.74 = 9,217.56 : x
  2. Step 2: Convert to fraction form
    9,283.17/12,739.74 = 9,217.56/x
  3. Step 3: Cross multiply
    9,283.17x = 12,739.74 × 9,217.56
  4. Step 4: Simplify right side
    9,283.17x = 117,429,317.83
  5. Step 5: Solve for x
    x = 117,429,317.83/9,283.17
  6. Step 6: Final answer
    x = 12,649.70

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.