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Finding the Fourth Proportional to 9,852.09, 14,786.03 and 4,589.52

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Solution

The fourth proportional to 9,852.09, 14,786.03 and 4,589.52 is: 6,887.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,852.09 : 14,786.03 = 4,589.52 : x
  2. Step 2: Convert to fraction form
    9,852.09/14,786.03 = 4,589.52/x
  3. Step 3: Cross multiply
    9,852.09x = 14,786.03 × 4,589.52
  4. Step 4: Simplify right side
    9,852.09x = 67,860,780.41
  5. Step 5: Solve for x
    x = 67,860,780.41/9,852.09
  6. Step 6: Final answer
    x = 6,887.96

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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.