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Finding the Fourth Proportional to 9,857.88, 14,781.24 and 4,007.61

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Solution

The fourth proportional to 9,857.88, 14,781.24 and 4,007.61 is: 6,009.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857.88 : 14,781.24 = 4,007.61 : x
  2. Step 2: Convert to fraction form
    9,857.88/14,781.24 = 4,007.61/x
  3. Step 3: Cross multiply
    9,857.88x = 14,781.24 × 4,007.61
  4. Step 4: Simplify right side
    9,857.88x = 59,237,445.24
  5. Step 5: Solve for x
    x = 59,237,445.24/9,857.88
  6. Step 6: Final answer
    x = 6,009.15

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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.