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Finding the Fourth Proportional to 9,164.14, 13,746.18 and 6,235.18

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Solution

The fourth proportional to 9,164.14, 13,746.18 and 6,235.18 is: 9,352.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.14 : 13,746.18 = 6,235.18 : x
  2. Step 2: Convert to fraction form
    9,164.14/13,746.18 = 6,235.18/x
  3. Step 3: Cross multiply
    9,164.14x = 13,746.18 × 6,235.18
  4. Step 4: Simplify right side
    9,164.14x = 85,709,906.61
  5. Step 5: Solve for x
    x = 85,709,906.61/9,164.14
  6. Step 6: Final answer
    x = 9,352.75

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.