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Finding the Fourth Proportional to 9,857.96, 14,782.84 and 4,010.60

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Solution

The fourth proportional to 9,857.96, 14,782.84 and 4,010.60 is: 6,014.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857.96 : 14,782.84 = 4,010.60 : x
  2. Step 2: Convert to fraction form
    9,857.96/14,782.84 = 4,010.60/x
  3. Step 3: Cross multiply
    9,857.96x = 14,782.84 × 4,010.60
  4. Step 4: Simplify right side
    9,857.96x = 59,288,058.10
  5. Step 5: Solve for x
    x = 59,288,058.10/9,857.96
  6. Step 6: Final answer
    x = 6,014.23

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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.