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Finding the Fourth Proportional to 9,832.99, 14,752.38 and 5,675.98

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Solution

The fourth proportional to 9,832.99, 14,752.38 and 5,675.98 is: 8,515.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,832.99 : 14,752.38 = 5,675.98 : x
  2. Step 2: Convert to fraction form
    9,832.99/14,752.38 = 5,675.98/x
  3. Step 3: Cross multiply
    9,832.99x = 14,752.38 × 5,675.98
  4. Step 4: Simplify right side
    9,832.99x = 83,734,213.83
  5. Step 5: Solve for x
    x = 83,734,213.83/9,832.99
  6. Step 6: Final answer
    x = 8,515.64

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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.