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Finding the Fourth Proportional to 9,860.08, 14,782.82 and 4,659.88

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Solution

The fourth proportional to 9,860.08, 14,782.82 and 4,659.88 is: 6,986.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,860.08 : 14,782.82 = 4,659.88 : x
  2. Step 2: Convert to fraction form
    9,860.08/14,782.82 = 4,659.88/x
  3. Step 3: Cross multiply
    9,860.08x = 14,782.82 × 4,659.88
  4. Step 4: Simplify right side
    9,860.08x = 68,886,167.26
  5. Step 5: Solve for x
    x = 68,886,167.26/9,860.08
  6. Step 6: Final answer
    x = 6,986.37

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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.