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Finding the Fourth Proportional to 9,688.94, 14,533.54 and 2,763.44

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Solution

The fourth proportional to 9,688.94, 14,533.54 and 2,763.44 is: 4,145.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,688.94 : 14,533.54 = 2,763.44 : x
  2. Step 2: Convert to fraction form
    9,688.94/14,533.54 = 2,763.44/x
  3. Step 3: Cross multiply
    9,688.94x = 14,533.54 × 2,763.44
  4. Step 4: Simplify right side
    9,688.94x = 40,162,565.78
  5. Step 5: Solve for x
    x = 40,162,565.78/9,688.94
  6. Step 6: Final answer
    x = 4,145.20

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