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Finding the Fourth Proportional to 9,683.47, 13,358.27 and 6,328.25

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Solution

The fourth proportional to 9,683.47, 13,358.27 and 6,328.25 is: 8,729.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.47 : 13,358.27 = 6,328.25 : x
  2. Step 2: Convert to fraction form
    9,683.47/13,358.27 = 6,328.25/x
  3. Step 3: Cross multiply
    9,683.47x = 13,358.27 × 6,328.25
  4. Step 4: Simplify right side
    9,683.47x = 84,534,472.13
  5. Step 5: Solve for x
    x = 84,534,472.13/9,683.47
  6. Step 6: Final answer
    x = 8,729.77

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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.