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Finding the Fourth Proportional to 9,431.18, 14,077.62 and 8,324.18

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Solution

The fourth proportional to 9,431.18, 14,077.62 and 8,324.18 is: 12,425.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,431.18 : 14,077.62 = 8,324.18 : x
  2. Step 2: Convert to fraction form
    9,431.18/14,077.62 = 8,324.18/x
  3. Step 3: Cross multiply
    9,431.18x = 14,077.62 × 8,324.18
  4. Step 4: Simplify right side
    9,431.18x = 117,184,601.23
  5. Step 5: Solve for x
    x = 117,184,601.23/9,431.18
  6. Step 6: Final answer
    x = 12,425.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.