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Finding the Fourth Proportional to 9,213.61, 12,714.78 and 5,021.86

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Solution

The fourth proportional to 9,213.61, 12,714.78 and 5,021.86 is: 6,930.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,213.61 : 12,714.78 = 5,021.86 : x
  2. Step 2: Convert to fraction form
    9,213.61/12,714.78 = 5,021.86/x
  3. Step 3: Cross multiply
    9,213.61x = 12,714.78 × 5,021.86
  4. Step 4: Simplify right side
    9,213.61x = 63,851,855.98
  5. Step 5: Solve for x
    x = 63,851,855.98/9,213.61
  6. Step 6: Final answer
    x = 6,930.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.