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Finding the Fourth Proportional to 9,683.10, 14,508.45 and 4,742.10

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Solution

The fourth proportional to 9,683.10, 14,508.45 and 4,742.10 is: 7,105.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.10 : 14,508.45 = 4,742.10 : x
  2. Step 2: Convert to fraction form
    9,683.10/14,508.45 = 4,742.10/x
  3. Step 3: Cross multiply
    9,683.10x = 14,508.45 × 4,742.10
  4. Step 4: Simplify right side
    9,683.10x = 68,800,520.75
  5. Step 5: Solve for x
    x = 68,800,520.75/9,683.10
  6. Step 6: Final answer
    x = 7,105.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.