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Finding the Fourth Proportional to 9,782.40, 14,669.82 and 5,625.48

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Solution

The fourth proportional to 9,782.40, 14,669.82 and 5,625.48 is: 8,436.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.40 : 14,669.82 = 5,625.48 : x
  2. Step 2: Convert to fraction form
    9,782.40/14,669.82 = 5,625.48/x
  3. Step 3: Cross multiply
    9,782.40x = 14,669.82 × 5,625.48
  4. Step 4: Simplify right side
    9,782.40x = 82,524,779.01
  5. Step 5: Solve for x
    x = 82,524,779.01/9,782.40
  6. Step 6: Final answer
    x = 8,436.05

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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.