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Finding the Fourth Proportional to 9,204.93, 13,807.40 and 4,819.32

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Solution

The fourth proportional to 9,204.93, 13,807.40 and 4,819.32 is: 7,228.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,204.93 : 13,807.40 = 4,819.32 : x
  2. Step 2: Convert to fraction form
    9,204.93/13,807.40 = 4,819.32/x
  3. Step 3: Cross multiply
    9,204.93x = 13,807.40 × 4,819.32
  4. Step 4: Simplify right side
    9,204.93x = 66,542,254.87
  5. Step 5: Solve for x
    x = 66,542,254.87/9,204.93
  6. Step 6: Final answer
    x = 7,228.98

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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.