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Finding the Fourth Proportional to 9,453.40, 14,180.10 and 9,234.70

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Solution

The fourth proportional to 9,453.40, 14,180.10 and 9,234.70 is: 13,852.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,453.40 : 14,180.10 = 9,234.70 : x
  2. Step 2: Convert to fraction form
    9,453.40/14,180.10 = 9,234.70/x
  3. Step 3: Cross multiply
    9,453.40x = 14,180.10 × 9,234.70
  4. Step 4: Simplify right side
    9,453.40x = 130,948,969.47
  5. Step 5: Solve for x
    x = 130,948,969.47/9,453.40
  6. Step 6: Final answer
    x = 13,852.05

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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.