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Finding the Fourth Proportional to 9,214.07, 12,714.93 and 5,234.63

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Solution

The fourth proportional to 9,214.07, 12,714.93 and 5,234.63 is: 7,223.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,214.07 : 12,714.93 = 5,234.63 : x
  2. Step 2: Convert to fraction form
    9,214.07/12,714.93 = 5,234.63/x
  3. Step 3: Cross multiply
    9,214.07x = 12,714.93 × 5,234.63
  4. Step 4: Simplify right side
    9,214.07x = 66,557,890.45
  5. Step 5: Solve for x
    x = 66,557,890.45/9,214.07
  6. Step 6: Final answer
    x = 7,223.51

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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.