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Finding the Fourth Proportional to 9,216.54, 12,719.16 and 5,237.46

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Solution

The fourth proportional to 9,216.54, 12,719.16 and 5,237.46 is: 7,227.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,216.54 : 12,719.16 = 5,237.46 : x
  2. Step 2: Convert to fraction form
    9,216.54/12,719.16 = 5,237.46/x
  3. Step 3: Cross multiply
    9,216.54x = 12,719.16 × 5,237.46
  4. Step 4: Simplify right side
    9,216.54x = 66,616,091.73
  5. Step 5: Solve for x
    x = 66,616,091.73/9,216.54
  6. Step 6: Final answer
    x = 7,227.89

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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.