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Finding the Fourth Proportional to 9,264.63, 12,785.91 and 5,286.93

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Solution

The fourth proportional to 9,264.63, 12,785.91 and 5,286.93 is: 7,296.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,264.63 : 12,785.91 = 5,286.93 : x
  2. Step 2: Convert to fraction form
    9,264.63/12,785.91 = 5,286.93/x
  3. Step 3: Cross multiply
    9,264.63x = 12,785.91 × 5,286.93
  4. Step 4: Simplify right side
    9,264.63x = 67,598,211.16
  5. Step 5: Solve for x
    x = 67,598,211.16/9,264.63
  6. Step 6: Final answer
    x = 7,296.37

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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.