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Finding the Fourth Proportional to 9,549.70, 14,329.78 and 3,706.54

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Solution

The fourth proportional to 9,549.70, 14,329.78 and 3,706.54 is: 5,561.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,549.70 : 14,329.78 = 3,706.54 : x
  2. Step 2: Convert to fraction form
    9,549.70/14,329.78 = 3,706.54/x
  3. Step 3: Cross multiply
    9,549.70x = 14,329.78 × 3,706.54
  4. Step 4: Simplify right side
    9,549.70x = 53,113,902.76
  5. Step 5: Solve for x
    x = 53,113,902.76/9,549.70
  6. Step 6: Final answer
    x = 5,561.84

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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.