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Finding the Fourth Proportional to 9,675.75, 14,501.48 and 5,233.24

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Solution

The fourth proportional to 9,675.75, 14,501.48 and 5,233.24 is: 7,843.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,675.75 : 14,501.48 = 5,233.24 : x
  2. Step 2: Convert to fraction form
    9,675.75/14,501.48 = 5,233.24/x
  3. Step 3: Cross multiply
    9,675.75x = 14,501.48 × 5,233.24
  4. Step 4: Simplify right side
    9,675.75x = 75,889,682.40
  5. Step 5: Solve for x
    x = 75,889,682.40/9,675.75
  6. Step 6: Final answer
    x = 7,843.29

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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.