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Finding the Fourth Proportional to 9,551.42, 14,323.48 and 3,706.66

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Solution

The fourth proportional to 9,551.42, 14,323.48 and 3,706.66 is: 5,558.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,551.42 : 14,323.48 = 3,706.66 : x
  2. Step 2: Convert to fraction form
    9,551.42/14,323.48 = 3,706.66/x
  3. Step 3: Cross multiply
    9,551.42x = 14,323.48 × 3,706.66
  4. Step 4: Simplify right side
    9,551.42x = 53,092,299.86
  5. Step 5: Solve for x
    x = 53,092,299.86/9,551.42
  6. Step 6: Final answer
    x = 5,558.58

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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.