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Finding the Fourth Proportional to 9,706.56, 14,550.72 and 3,549.12

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Solution

The fourth proportional to 9,706.56, 14,550.72 and 3,549.12 is: 5,320.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.56 : 14,550.72 = 3,549.12 : x
  2. Step 2: Convert to fraction form
    9,706.56/14,550.72 = 3,549.12/x
  3. Step 3: Cross multiply
    9,706.56x = 14,550.72 × 3,549.12
  4. Step 4: Simplify right side
    9,706.56x = 51,642,251.37
  5. Step 5: Solve for x
    x = 51,642,251.37/9,706.56
  6. Step 6: Final answer
    x = 5,320.35

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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.