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Finding the Fourth Proportional to 6,809.04, 9,405.72 and 5,335.56

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Solution

The fourth proportional to 6,809.04, 9,405.72 and 5,335.56 is: 7,370.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.04 : 9,405.72 = 5,335.56 : x
  2. Step 2: Convert to fraction form
    6,809.04/9,405.72 = 5,335.56/x
  3. Step 3: Cross multiply
    6,809.04x = 9,405.72 × 5,335.56
  4. Step 4: Simplify right side
    6,809.04x = 50,184,783.40
  5. Step 5: Solve for x
    x = 50,184,783.40/6,809.04
  6. Step 6: Final answer
    x = 7,370.32

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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.