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Finding the Fourth Proportional to 9,480.86, 14,222.88 and 2,905.46

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Solution

The fourth proportional to 9,480.86, 14,222.88 and 2,905.46 is: 4,358.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,480.86 : 14,222.88 = 2,905.46 : x
  2. Step 2: Convert to fraction form
    9,480.86/14,222.88 = 2,905.46/x
  3. Step 3: Cross multiply
    9,480.86x = 14,222.88 × 2,905.46
  4. Step 4: Simplify right side
    9,480.86x = 41,324,008.92
  5. Step 5: Solve for x
    x = 41,324,008.92/9,480.86
  6. Step 6: Final answer
    x = 4,358.68

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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.