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Finding the Fourth Proportional to 9,296.76, 12,828.72 and 5,317.24

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Solution

The fourth proportional to 9,296.76, 12,828.72 and 5,317.24 is: 7,337.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,296.76 : 12,828.72 = 5,317.24 : x
  2. Step 2: Convert to fraction form
    9,296.76/12,828.72 = 5,317.24/x
  3. Step 3: Cross multiply
    9,296.76x = 12,828.72 × 5,317.24
  4. Step 4: Simplify right side
    9,296.76x = 68,213,383.13
  5. Step 5: Solve for x
    x = 68,213,383.13/9,296.76
  6. Step 6: Final answer
    x = 7,337.33

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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.