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Finding the Fourth Proportional to 9,494.10, 14,237.10 and 3,945.60

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Solution

The fourth proportional to 9,494.10, 14,237.10 and 3,945.60 is: 5,916.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,494.10 : 14,237.10 = 3,945.60 : x
  2. Step 2: Convert to fraction form
    9,494.10/14,237.10 = 3,945.60/x
  3. Step 3: Cross multiply
    9,494.10x = 14,237.10 × 3,945.60
  4. Step 4: Simplify right side
    9,494.10x = 56,173,901.76
  5. Step 5: Solve for x
    x = 56,173,901.76/9,494.10
  6. Step 6: Final answer
    x = 5,916.72

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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.