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Finding the Fourth Proportional to 9,683.24, 13,367.28 and 7,444.32

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Solution

The fourth proportional to 9,683.24, 13,367.28 and 7,444.32 is: 10,276.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.24 : 13,367.28 = 7,444.32 : x
  2. Step 2: Convert to fraction form
    9,683.24/13,367.28 = 7,444.32/x
  3. Step 3: Cross multiply
    9,683.24x = 13,367.28 × 7,444.32
  4. Step 4: Simplify right side
    9,683.24x = 99,510,309.85
  5. Step 5: Solve for x
    x = 99,510,309.85/9,683.24
  6. Step 6: Final answer
    x = 10,276.55

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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.