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Finding the Fourth Proportional to 9,322.68, 14,007.06 and 8,216.76

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Solution

The fourth proportional to 9,322.68, 14,007.06 and 8,216.76 is: 12,345.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,322.68 : 14,007.06 = 8,216.76 : x
  2. Step 2: Convert to fraction form
    9,322.68/14,007.06 = 8,216.76/x
  3. Step 3: Cross multiply
    9,322.68x = 14,007.06 × 8,216.76
  4. Step 4: Simplify right side
    9,322.68x = 115,092,650.33
  5. Step 5: Solve for x
    x = 115,092,650.33/9,322.68
  6. Step 6: Final answer
    x = 12,345.45

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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.