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Finding the Fourth Proportional to 9,683.95, 13,363.31 and 5,434.62

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Solution

The fourth proportional to 9,683.95, 13,363.31 and 5,434.62 is: 7,499.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.95 : 13,363.31 = 5,434.62 : x
  2. Step 2: Convert to fraction form
    9,683.95/13,363.31 = 5,434.62/x
  3. Step 3: Cross multiply
    9,683.95x = 13,363.31 × 5,434.62
  4. Step 4: Simplify right side
    9,683.95x = 72,624,511.79
  5. Step 5: Solve for x
    x = 72,624,511.79/9,683.95
  6. Step 6: Final answer
    x = 7,499.47

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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.