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Finding the Fourth Proportional to 9,460.92, 13,055.94 and 5,269.20

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Solution

The fourth proportional to 9,460.92, 13,055.94 and 5,269.20 is: 7,271.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,460.92 : 13,055.94 = 5,269.20 : x
  2. Step 2: Convert to fraction form
    9,460.92/13,055.94 = 5,269.20/x
  3. Step 3: Cross multiply
    9,460.92x = 13,055.94 × 5,269.20
  4. Step 4: Simplify right side
    9,460.92x = 68,794,359.05
  5. Step 5: Solve for x
    x = 68,794,359.05/9,460.92
  6. Step 6: Final answer
    x = 7,271.42

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Similar ratio
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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.