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Finding the Fourth Proportional to 9,234.90, 13,852.35 and 8,214.30

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Solution

The fourth proportional to 9,234.90, 13,852.35 and 8,214.30 is: 12,321.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,234.90 : 13,852.35 = 8,214.30 : x
  2. Step 2: Convert to fraction form
    9,234.90/13,852.35 = 8,214.30/x
  3. Step 3: Cross multiply
    9,234.90x = 13,852.35 × 8,214.30
  4. Step 4: Simplify right side
    9,234.90x = 113,787,358.61
  5. Step 5: Solve for x
    x = 113,787,358.61/9,234.90
  6. Step 6: Final answer
    x = 12,321.45

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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.