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Finding the Fourth Proportional to 9,228.63, 13,847 and 4,845.06

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Solution

The fourth proportional to 9,228.63, 13,847 and 4,845.06 is: 7,269.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,228.63 : 13,847 = 4,845.06 : x
  2. Step 2: Convert to fraction form
    9,228.63/13,847 = 4,845.06/x
  3. Step 3: Cross multiply
    9,228.63x = 13,847 × 4,845.06
  4. Step 4: Simplify right side
    9,228.63x = 67,089,545.82
  5. Step 5: Solve for x
    x = 67,089,545.82/9,228.63
  6. Step 6: Final answer
    x = 7,269.72

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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.