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Finding the Fourth Proportional to 9,714.38, 14,573.11 and 4,167.77

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Solution

The fourth proportional to 9,714.38, 14,573.11 and 4,167.77 is: 6,252.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.38 : 14,573.11 = 4,167.77 : x
  2. Step 2: Convert to fraction form
    9,714.38/14,573.11 = 4,167.77/x
  3. Step 3: Cross multiply
    9,714.38x = 14,573.11 × 4,167.77
  4. Step 4: Simplify right side
    9,714.38x = 60,737,404.98
  5. Step 5: Solve for x
    x = 60,737,404.98/9,714.38
  6. Step 6: Final answer
    x = 6,252.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.