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Finding the Fourth Proportional to 9,853.96, 14,782.14 and 4,009.78

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Solution

The fourth proportional to 9,853.96, 14,782.14 and 4,009.78 is: 6,015.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,853.96 : 14,782.14 = 4,009.78 : x
  2. Step 2: Convert to fraction form
    9,853.96/14,782.14 = 4,009.78/x
  3. Step 3: Cross multiply
    9,853.96x = 14,782.14 × 4,009.78
  4. Step 4: Simplify right side
    9,853.96x = 59,273,129.33
  5. Step 5: Solve for x
    x = 59,273,129.33/9,853.96
  6. Step 6: Final answer
    x = 6,015.16

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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.