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Finding the Fourth Proportional to 9,782.44, 13,501.50 and 5,805.75

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Solution

The fourth proportional to 9,782.44, 13,501.50 and 5,805.75 is: 8,012.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.44 : 13,501.50 = 5,805.75 : x
  2. Step 2: Convert to fraction form
    9,782.44/13,501.50 = 5,805.75/x
  3. Step 3: Cross multiply
    9,782.44x = 13,501.50 × 5,805.75
  4. Step 4: Simplify right side
    9,782.44x = 78,386,333.63
  5. Step 5: Solve for x
    x = 78,386,333.63/9,782.44
  6. Step 6: Final answer
    x = 8,012.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.