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Finding the Fourth Proportional to 10,046.91, 13,857.84 and 6,897.63

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Solution

The fourth proportional to 10,046.91, 13,857.84 and 6,897.63 is: 9,514.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,046.91 : 13,857.84 = 6,897.63 : x
  2. Step 2: Convert to fraction form
    10,046.91/13,857.84 = 6,897.63/x
  3. Step 3: Cross multiply
    10,046.91x = 13,857.84 × 6,897.63
  4. Step 4: Simplify right side
    10,046.91x = 95,586,252.92
  5. Step 5: Solve for x
    x = 95,586,252.92/10,046.91
  6. Step 6: Final answer
    x = 9,514.00

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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.