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Finding the Fourth Proportional to 9,264.77, 12,785.34 and 5,287.13

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Solution

The fourth proportional to 9,264.77, 12,785.34 and 5,287.13 is: 7,296.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,264.77 : 12,785.34 = 5,287.13 : x
  2. Step 2: Convert to fraction form
    9,264.77/12,785.34 = 5,287.13/x
  3. Step 3: Cross multiply
    9,264.77x = 12,785.34 × 5,287.13
  4. Step 4: Simplify right side
    9,264.77x = 67,597,754.67
  5. Step 5: Solve for x
    x = 67,597,754.67/9,264.77
  6. Step 6: Final answer
    x = 7,296.22

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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.