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Finding the Fourth Proportional to 9,706.26, 14,549.01 and 5,021.56

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Solution

The fourth proportional to 9,706.26, 14,549.01 and 5,021.56 is: 7,526.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.26 : 14,549.01 = 5,021.56 : x
  2. Step 2: Convert to fraction form
    9,706.26/14,549.01 = 5,021.56/x
  3. Step 3: Cross multiply
    9,706.26x = 14,549.01 × 5,021.56
  4. Step 4: Simplify right side
    9,706.26x = 73,058,726.66
  5. Step 5: Solve for x
    x = 73,058,726.66/9,706.26
  6. Step 6: Final answer
    x = 7,526.97

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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.