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Finding the Fourth Proportional to 9,549.80, 14,317.26 and 4,549.57

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Solution

The fourth proportional to 9,549.80, 14,317.26 and 4,549.57 is: 6,820.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,549.80 : 14,317.26 = 4,549.57 : x
  2. Step 2: Convert to fraction form
    9,549.80/14,317.26 = 4,549.57/x
  3. Step 3: Cross multiply
    9,549.80x = 14,317.26 × 4,549.57
  4. Step 4: Simplify right side
    9,549.80x = 65,137,323.72
  5. Step 5: Solve for x
    x = 65,137,323.72/9,549.80
  6. Step 6: Final answer
    x = 6,820.81

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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.