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Finding the Fourth Proportional to 9,704.57, 13,396.46 and 6,683.93

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Solution

The fourth proportional to 9,704.57, 13,396.46 and 6,683.93 is: 9,226.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.57 : 13,396.46 = 6,683.93 : x
  2. Step 2: Convert to fraction form
    9,704.57/13,396.46 = 6,683.93/x
  3. Step 3: Cross multiply
    9,704.57x = 13,396.46 × 6,683.93
  4. Step 4: Simplify right side
    9,704.57x = 89,540,925.55
  5. Step 5: Solve for x
    x = 89,540,925.55/9,704.57
  6. Step 6: Final answer
    x = 9,226.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.