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Finding the Fourth Proportional to 9,242.30, 13,846.95 and 4,794.59

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Solution

The fourth proportional to 9,242.30, 13,846.95 and 4,794.59 is: 7,183.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,242.30 : 13,846.95 = 4,794.59 : x
  2. Step 2: Convert to fraction form
    9,242.30/13,846.95 = 4,794.59/x
  3. Step 3: Cross multiply
    9,242.30x = 13,846.95 × 4,794.59
  4. Step 4: Simplify right side
    9,242.30x = 66,390,482.62
  5. Step 5: Solve for x
    x = 66,390,482.62/9,242.30
  6. Step 6: Final answer
    x = 7,183.33

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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.