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Finding the Fourth Proportional to 9,263.61, 12,785.28 and 5,286.03

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Solution

The fourth proportional to 9,263.61, 12,785.28 and 5,286.03 is: 7,295.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,263.61 : 12,785.28 = 5,286.03 : x
  2. Step 2: Convert to fraction form
    9,263.61/12,785.28 = 5,286.03/x
  3. Step 3: Cross multiply
    9,263.61x = 12,785.28 × 5,286.03
  4. Step 4: Simplify right side
    9,263.61x = 67,583,373.64
  5. Step 5: Solve for x
    x = 67,583,373.64/9,263.61
  6. Step 6: Final answer
    x = 7,295.58

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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.