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Finding the Fourth Proportional to 9,857.25, 14,785.34 and 4,018.77

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Solution

The fourth proportional to 9,857.25, 14,785.34 and 4,018.77 is: 6,027.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857.25 : 14,785.34 = 4,018.77 : x
  2. Step 2: Convert to fraction form
    9,857.25/14,785.34 = 4,018.77/x
  3. Step 3: Cross multiply
    9,857.25x = 14,785.34 × 4,018.77
  4. Step 4: Simplify right side
    9,857.25x = 59,418,860.74
  5. Step 5: Solve for x
    x = 59,418,860.74/9,857.25
  6. Step 6: Final answer
    x = 6,027.93

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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.