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Finding the Fourth Proportional to 9,205.64, 12,701.50 and 5,226

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Solution

The fourth proportional to 9,205.64, 12,701.50 and 5,226 is: 7,210.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.64 : 12,701.50 = 5,226 : x
  2. Step 2: Convert to fraction form
    9,205.64/12,701.50 = 5,226/x
  3. Step 3: Cross multiply
    9,205.64x = 12,701.50 × 5,226
  4. Step 4: Simplify right side
    9,205.64x = 66,378,039
  5. Step 5: Solve for x
    x = 66,378,039/9,205.64
  6. Step 6: Final answer
    x = 7,210.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.