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Finding the Fourth Proportional to 9,494.62, 14,242.16 and 2,920.86

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Solution

The fourth proportional to 9,494.62, 14,242.16 and 2,920.86 is: 4,381.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,494.62 : 14,242.16 = 2,920.86 : x
  2. Step 2: Convert to fraction form
    9,494.62/14,242.16 = 2,920.86/x
  3. Step 3: Cross multiply
    9,494.62x = 14,242.16 × 2,920.86
  4. Step 4: Simplify right side
    9,494.62x = 41,599,362.76
  5. Step 5: Solve for x
    x = 41,599,362.76/9,494.62
  6. Step 6: Final answer
    x = 4,381.36

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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.