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Finding the Fourth Proportional to 9,338.34, 12,886.74 and 5,089.44

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Solution

The fourth proportional to 9,338.34, 12,886.74 and 5,089.44 is: 7,023.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,338.34 : 12,886.74 = 5,089.44 : x
  2. Step 2: Convert to fraction form
    9,338.34/12,886.74 = 5,089.44/x
  3. Step 3: Cross multiply
    9,338.34x = 12,886.74 × 5,089.44
  4. Step 4: Simplify right side
    9,338.34x = 65,586,290.03
  5. Step 5: Solve for x
    x = 65,586,290.03/9,338.34
  6. Step 6: Final answer
    x = 7,023.33

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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.