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Finding the Fourth Proportional to 7,095.44, 9,783.03 and 4,438.24

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Solution

The fourth proportional to 7,095.44, 9,783.03 and 4,438.24 is: 6,119.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,095.44 : 9,783.03 = 4,438.24 : x
  2. Step 2: Convert to fraction form
    7,095.44/9,783.03 = 4,438.24/x
  3. Step 3: Cross multiply
    7,095.44x = 9,783.03 × 4,438.24
  4. Step 4: Simplify right side
    7,095.44x = 43,419,435.07
  5. Step 5: Solve for x
    x = 43,419,435.07/7,095.44
  6. Step 6: Final answer
    x = 6,119.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.