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Finding the Fourth Proportional to 9,234.34, 13,855.56 and 4,850.74

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Solution

The fourth proportional to 9,234.34, 13,855.56 and 4,850.74 is: 7,278.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,234.34 : 13,855.56 = 4,850.74 : x
  2. Step 2: Convert to fraction form
    9,234.34/13,855.56 = 4,850.74/x
  3. Step 3: Cross multiply
    9,234.34x = 13,855.56 × 4,850.74
  4. Step 4: Simplify right side
    9,234.34x = 67,209,719.11
  5. Step 5: Solve for x
    x = 67,209,719.11/9,234.34
  6. Step 6: Final answer
    x = 7,278.24

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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.