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Finding the Fourth Proportional to 9,183.15, 12,672.63 and 4,991.40

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Solution

The fourth proportional to 9,183.15, 12,672.63 and 4,991.40 is: 6,888.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,183.15 : 12,672.63 = 4,991.40 : x
  2. Step 2: Convert to fraction form
    9,183.15/12,672.63 = 4,991.40/x
  3. Step 3: Cross multiply
    9,183.15x = 12,672.63 × 4,991.40
  4. Step 4: Simplify right side
    9,183.15x = 63,254,165.38
  5. Step 5: Solve for x
    x = 63,254,165.38/9,183.15
  6. Step 6: Final answer
    x = 6,888.07

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Why These Related Problems?

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