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Finding the Fourth Proportional to 9,916.47, 13,687.13 and 6,735.08

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Solution

The fourth proportional to 9,916.47, 13,687.13 and 6,735.08 is: 9,296.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,916.47 : 13,687.13 = 6,735.08 : x
  2. Step 2: Convert to fraction form
    9,916.47/13,687.13 = 6,735.08/x
  3. Step 3: Cross multiply
    9,916.47x = 13,687.13 × 6,735.08
  4. Step 4: Simplify right side
    9,916.47x = 92,183,813.41
  5. Step 5: Solve for x
    x = 92,183,813.41/9,916.47
  6. Step 6: Final answer
    x = 9,296.03

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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.