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Finding the Fourth Proportional to 9,434.70, 14,152.08 and 3,194.76

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Solution

The fourth proportional to 9,434.70, 14,152.08 and 3,194.76 is: 4,792.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,434.70 : 14,152.08 = 3,194.76 : x
  2. Step 2: Convert to fraction form
    9,434.70/14,152.08 = 3,194.76/x
  3. Step 3: Cross multiply
    9,434.70x = 14,152.08 × 3,194.76
  4. Step 4: Simplify right side
    9,434.70x = 45,212,499.10
  5. Step 5: Solve for x
    x = 45,212,499.10/9,434.70
  6. Step 6: Final answer
    x = 4,792.15

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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.