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Finding the Fourth Proportional to 9,673.02, 14,516.88 and 6,861.60

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Solution

The fourth proportional to 9,673.02, 14,516.88 and 6,861.60 is: 10,297.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673.02 : 14,516.88 = 6,861.60 : x
  2. Step 2: Convert to fraction form
    9,673.02/14,516.88 = 6,861.60/x
  3. Step 3: Cross multiply
    9,673.02x = 14,516.88 × 6,861.60
  4. Step 4: Simplify right side
    9,673.02x = 99,609,023.81
  5. Step 5: Solve for x
    x = 99,609,023.81/9,673.02
  6. Step 6: Final answer
    x = 10,297.61

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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.