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Finding the Fourth Proportional to 9,315.66, 12,853.40 and 6,296.40

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Solution

The fourth proportional to 9,315.66, 12,853.40 and 6,296.40 is: 8,687.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,315.66 : 12,853.40 = 6,296.40 : x
  2. Step 2: Convert to fraction form
    9,315.66/12,853.40 = 6,296.40/x
  3. Step 3: Cross multiply
    9,315.66x = 12,853.40 × 6,296.40
  4. Step 4: Simplify right side
    9,315.66x = 80,930,151.70
  5. Step 5: Solve for x
    x = 80,930,151.70/9,315.66
  6. Step 6: Final answer
    x = 8,687.54

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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.