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Finding the Fourth Proportional to 9,344.30, 13,948.08 and 8,237.12

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Solution

The fourth proportional to 9,344.30, 13,948.08 and 8,237.12 is: 12,295.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,344.30 : 13,948.08 = 8,237.12 : x
  2. Step 2: Convert to fraction form
    9,344.30/13,948.08 = 8,237.12/x
  3. Step 3: Cross multiply
    9,344.30x = 13,948.08 × 8,237.12
  4. Step 4: Simplify right side
    9,344.30x = 114,891,908.10
  5. Step 5: Solve for x
    x = 114,891,908.10/9,344.30
  6. Step 6: Final answer
    x = 12,295.41

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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.