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Finding the Fourth Proportional to 9,157.87, 13,737.80 and 2,916.41

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Solution

The fourth proportional to 9,157.87, 13,737.80 and 2,916.41 is: 4,374.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,157.87 : 13,737.80 = 2,916.41 : x
  2. Step 2: Convert to fraction form
    9,157.87/13,737.80 = 2,916.41/x
  3. Step 3: Cross multiply
    9,157.87x = 13,737.80 × 2,916.41
  4. Step 4: Simplify right side
    9,157.87x = 40,065,057.30
  5. Step 5: Solve for x
    x = 40,065,057.30/9,157.87
  6. Step 6: Final answer
    x = 4,374.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.