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Finding the Fourth Proportional to 9,683.58, 13,358.40 and 6,328.36

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Solution

The fourth proportional to 9,683.58, 13,358.40 and 6,328.36 is: 8,729.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.58 : 13,358.40 = 6,328.36 : x
  2. Step 2: Convert to fraction form
    9,683.58/13,358.40 = 6,328.36/x
  3. Step 3: Cross multiply
    9,683.58x = 13,358.40 × 6,328.36
  4. Step 4: Simplify right side
    9,683.58x = 84,536,764.22
  5. Step 5: Solve for x
    x = 84,536,764.22/9,683.58
  6. Step 6: Final answer
    x = 8,729.91

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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.