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Finding the Fourth Proportional to 9,296.95, 12,821.22 and 6,317.23

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Solution

The fourth proportional to 9,296.95, 12,821.22 and 6,317.23 is: 8,711.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,296.95 : 12,821.22 = 6,317.23 : x
  2. Step 2: Convert to fraction form
    9,296.95/12,821.22 = 6,317.23/x
  3. Step 3: Cross multiply
    9,296.95x = 12,821.22 × 6,317.23
  4. Step 4: Simplify right side
    9,296.95x = 80,994,595.62
  5. Step 5: Solve for x
    x = 80,994,595.62/9,296.95
  6. Step 6: Final answer
    x = 8,711.95

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1.5x scale

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.