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Finding the Fourth Proportional to 9,205.13, 12,703.22 and 5,013.38

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Solution

The fourth proportional to 9,205.13, 12,703.22 and 5,013.38 is: 6,918.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.13 : 12,703.22 = 5,013.38 : x
  2. Step 2: Convert to fraction form
    9,205.13/12,703.22 = 5,013.38/x
  3. Step 3: Cross multiply
    9,205.13x = 12,703.22 × 5,013.38
  4. Step 4: Simplify right side
    9,205.13x = 63,686,069.08
  5. Step 5: Solve for x
    x = 63,686,069.08/9,205.13
  6. Step 6: Final answer
    x = 6,918.54

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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.