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Finding the Fourth Proportional to 9,706.64, 14,559.35 and 3,132.27

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Solution

The fourth proportional to 9,706.64, 14,559.35 and 3,132.27 is: 4,698.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.64 : 14,559.35 = 3,132.27 : x
  2. Step 2: Convert to fraction form
    9,706.64/14,559.35 = 3,132.27/x
  3. Step 3: Cross multiply
    9,706.64x = 14,559.35 × 3,132.27
  4. Step 4: Simplify right side
    9,706.64x = 45,603,799.56
  5. Step 5: Solve for x
    x = 45,603,799.56/9,706.64
  6. Step 6: Final answer
    x = 4,698.21

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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.