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Finding the Fourth Proportional to 9,442.20, 14,141.70 and 9,226.20

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Solution

The fourth proportional to 9,442.20, 14,141.70 and 9,226.20 is: 13,818.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,442.20 : 14,141.70 = 9,226.20 : x
  2. Step 2: Convert to fraction form
    9,442.20/14,141.70 = 9,226.20/x
  3. Step 3: Cross multiply
    9,442.20x = 14,141.70 × 9,226.20
  4. Step 4: Simplify right side
    9,442.20x = 130,474,152.54
  5. Step 5: Solve for x
    x = 130,474,152.54/9,442.20
  6. Step 6: Final answer
    x = 13,818.19

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