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Finding the Fourth Proportional to 9,216.16, 12,718.38 and 5,024.68

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Solution

The fourth proportional to 9,216.16, 12,718.38 and 5,024.68 is: 6,934.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,216.16 : 12,718.38 = 5,024.68 : x
  2. Step 2: Convert to fraction form
    9,216.16/12,718.38 = 5,024.68/x
  3. Step 3: Cross multiply
    9,216.16x = 12,718.38 × 5,024.68
  4. Step 4: Simplify right side
    9,216.16x = 63,905,789.62
  5. Step 5: Solve for x
    x = 63,905,789.62/9,216.16
  6. Step 6: Final answer
    x = 6,934.10

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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.