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Finding the Fourth Proportional to 10,344.91, 14,283.12 and 9,683.95

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Solution

The fourth proportional to 10,344.91, 14,283.12 and 9,683.95 is: 13,370.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,344.91 : 14,283.12 = 9,683.95 : x
  2. Step 2: Convert to fraction form
    10,344.91/14,283.12 = 9,683.95/x
  3. Step 3: Cross multiply
    10,344.91x = 14,283.12 × 9,683.95
  4. Step 4: Simplify right side
    10,344.91x = 138,317,019.92
  5. Step 5: Solve for x
    x = 138,317,019.92/10,344.91
  6. Step 6: Final answer
    x = 13,370.54

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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.