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Finding the Fourth Proportional to 9,985.58, 14,968.77 and 4,786.22

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Solution

The fourth proportional to 9,985.58, 14,968.77 and 4,786.22 is: 7,174.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,985.58 : 14,968.77 = 4,786.22 : x
  2. Step 2: Convert to fraction form
    9,985.58/14,968.77 = 4,786.22/x
  3. Step 3: Cross multiply
    9,985.58x = 14,968.77 × 4,786.22
  4. Step 4: Simplify right side
    9,985.58x = 71,643,826.35
  5. Step 5: Solve for x
    x = 71,643,826.35/9,985.58
  6. Step 6: Final answer
    x = 7,174.73

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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.