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Finding the Fourth Proportional to 9,063, 13,594.50 and 3,219.84

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Solution

The fourth proportional to 9,063, 13,594.50 and 3,219.84 is: 4,829.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,063 : 13,594.50 = 3,219.84 : x
  2. Step 2: Convert to fraction form
    9,063/13,594.50 = 3,219.84/x
  3. Step 3: Cross multiply
    9,063x = 13,594.50 × 3,219.84
  4. Step 4: Simplify right side
    9,063x = 43,772,114.88
  5. Step 5: Solve for x
    x = 43,772,114.88/9,063
  6. Step 6: Final answer
    x = 4,829.76

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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.