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Finding the Fourth Proportional to 9,916.77, 13,685.37 and 6,140.55

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Solution

The fourth proportional to 9,916.77, 13,685.37 and 6,140.55 is: 8,474.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,916.77 : 13,685.37 = 6,140.55 : x
  2. Step 2: Convert to fraction form
    9,916.77/13,685.37 = 6,140.55/x
  3. Step 3: Cross multiply
    9,916.77x = 13,685.37 × 6,140.55
  4. Step 4: Simplify right side
    9,916.77x = 84,035,630.33
  5. Step 5: Solve for x
    x = 84,035,630.33/9,916.77
  6. Step 6: Final answer
    x = 8,474.10

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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.