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Finding the Fourth Proportional to 9,263.97, 12,785.01 and 5,284.17

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Solution

The fourth proportional to 9,263.97, 12,785.01 and 5,284.17 is: 7,292.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,263.97 : 12,785.01 = 5,284.17 : x
  2. Step 2: Convert to fraction form
    9,263.97/12,785.01 = 5,284.17/x
  3. Step 3: Cross multiply
    9,263.97x = 12,785.01 × 5,284.17
  4. Step 4: Simplify right side
    9,263.97x = 67,558,166.29
  5. Step 5: Solve for x
    x = 67,558,166.29/9,263.97
  6. Step 6: Final answer
    x = 7,292.57

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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.