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Finding the Fourth Proportional to 9,183.60, 12,673.26 and 5,648.76

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Solution

The fourth proportional to 9,183.60, 12,673.26 and 5,648.76 is: 7,795.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,183.60 : 12,673.26 = 5,648.76 : x
  2. Step 2: Convert to fraction form
    9,183.60/12,673.26 = 5,648.76/x
  3. Step 3: Cross multiply
    9,183.60x = 12,673.26 × 5,648.76
  4. Step 4: Simplify right side
    9,183.60x = 71,588,204.16
  5. Step 5: Solve for x
    x = 71,588,204.16/9,183.60
  6. Step 6: Final answer
    x = 7,795.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.