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Finding the Fourth Proportional to 6,457.01, 9,683.91 and 2,506.23

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Solution

The fourth proportional to 6,457.01, 9,683.91 and 2,506.23 is: 3,758.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.01 : 9,683.91 = 2,506.23 : x
  2. Step 2: Convert to fraction form
    6,457.01/9,683.91 = 2,506.23/x
  3. Step 3: Cross multiply
    6,457.01x = 9,683.91 × 2,506.23
  4. Step 4: Simplify right side
    6,457.01x = 24,270,105.76
  5. Step 5: Solve for x
    x = 24,270,105.76/6,457.01
  6. Step 6: Final answer
    x = 3,758.72

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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.