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Finding the Fourth Proportional to 9,191.31, 13,683.02 and 9,136.63

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Solution

The fourth proportional to 9,191.31, 13,683.02 and 9,136.63 is: 13,601.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,191.31 : 13,683.02 = 9,136.63 : x
  2. Step 2: Convert to fraction form
    9,191.31/13,683.02 = 9,136.63/x
  3. Step 3: Cross multiply
    9,191.31x = 13,683.02 × 9,136.63
  4. Step 4: Simplify right side
    9,191.31x = 125,016,645.34
  5. Step 5: Solve for x
    x = 125,016,645.34/9,191.31
  6. Step 6: Final answer
    x = 13,601.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.