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Finding the Fourth Proportional to 9,683.64, 13,366.32 and 6,320.52

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Solution

The fourth proportional to 9,683.64, 13,366.32 and 6,320.52 is: 8,724.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.64 : 13,366.32 = 6,320.52 : x
  2. Step 2: Convert to fraction form
    9,683.64/13,366.32 = 6,320.52/x
  3. Step 3: Cross multiply
    9,683.64x = 13,366.32 × 6,320.52
  4. Step 4: Simplify right side
    9,683.64x = 84,482,092.89
  5. Step 5: Solve for x
    x = 84,482,092.89/9,683.64
  6. Step 6: Final answer
    x = 8,724.21

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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.