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Finding the Fourth Proportional to 9,216.45, 12,718.89 and 6,532.38

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Solution

The fourth proportional to 9,216.45, 12,718.89 and 6,532.38 is: 9,014.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,216.45 : 12,718.89 = 6,532.38 : x
  2. Step 2: Convert to fraction form
    9,216.45/12,718.89 = 6,532.38/x
  3. Step 3: Cross multiply
    9,216.45x = 12,718.89 × 6,532.38
  4. Step 4: Simplify right side
    9,216.45x = 83,084,622.66
  5. Step 5: Solve for x
    x = 83,084,622.66/9,216.45
  6. Step 6: Final answer
    x = 9,014.82

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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.