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Finding the Fourth Proportional to 9,688.68, 14,533.56 and 2,763

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Solution

The fourth proportional to 9,688.68, 14,533.56 and 2,763 is: 4,144.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,688.68 : 14,533.56 = 2,763 : x
  2. Step 2: Convert to fraction form
    9,688.68/14,533.56 = 2,763/x
  3. Step 3: Cross multiply
    9,688.68x = 14,533.56 × 2,763
  4. Step 4: Simplify right side
    9,688.68x = 40,156,226.28
  5. Step 5: Solve for x
    x = 40,156,226.28/9,688.68
  6. Step 6: Final answer
    x = 4,144.65

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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.