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Finding the Fourth Proportional to 9,205.08, 12,696.16 and 5,844.98

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Solution

The fourth proportional to 9,205.08, 12,696.16 and 5,844.98 is: 8,061.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.08 : 12,696.16 = 5,844.98 : x
  2. Step 2: Convert to fraction form
    9,205.08/12,696.16 = 5,844.98/x
  3. Step 3: Cross multiply
    9,205.08x = 12,696.16 × 5,844.98
  4. Step 4: Simplify right side
    9,205.08x = 74,208,801.28
  5. Step 5: Solve for x
    x = 74,208,801.28/9,205.08
  6. Step 6: Final answer
    x = 8,061.72

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1.5x scale

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.