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Finding the Fourth Proportional to 9,916.33, 13,683.52 and 5,937.34

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Solution

The fourth proportional to 9,916.33, 13,683.52 and 5,937.34 is: 8,192.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,916.33 : 13,683.52 = 5,937.34 : x
  2. Step 2: Convert to fraction form
    9,916.33/13,683.52 = 5,937.34/x
  3. Step 3: Cross multiply
    9,916.33x = 13,683.52 × 5,937.34
  4. Step 4: Simplify right side
    9,916.33x = 81,243,710.64
  5. Step 5: Solve for x
    x = 81,243,710.64/9,916.33
  6. Step 6: Final answer
    x = 8,192.92

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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.