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Finding the Fourth Proportional to 9,342.99, 13,973.13 and 8,310.24

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Solution

The fourth proportional to 9,342.99, 13,973.13 and 8,310.24 is: 12,428.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,342.99 : 13,973.13 = 8,310.24 : x
  2. Step 2: Convert to fraction form
    9,342.99/13,973.13 = 8,310.24/x
  3. Step 3: Cross multiply
    9,342.99x = 13,973.13 × 8,310.24
  4. Step 4: Simplify right side
    9,342.99x = 116,120,063.85
  5. Step 5: Solve for x
    x = 116,120,063.85/9,342.99
  6. Step 6: Final answer
    x = 12,428.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.