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Finding the Fourth Proportional to 9,216.38, 12,718.42 and 5,024.63

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Solution

The fourth proportional to 9,216.38, 12,718.42 and 5,024.63 is: 6,933.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,216.38 : 12,718.42 = 5,024.63 : x
  2. Step 2: Convert to fraction form
    9,216.38/12,718.42 = 5,024.63/x
  3. Step 3: Cross multiply
    9,216.38x = 12,718.42 × 5,024.63
  4. Step 4: Simplify right side
    9,216.38x = 63,905,373.92
  5. Step 5: Solve for x
    x = 63,905,373.92/9,216.38
  6. Step 6: Final answer
    x = 6,933.89

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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.