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Finding the Fourth Proportional to 6,740.01, 9,305.10 and 4,509.27

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Solution

The fourth proportional to 6,740.01, 9,305.10 and 4,509.27 is: 6,225.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,740.01 : 9,305.10 = 4,509.27 : x
  2. Step 2: Convert to fraction form
    6,740.01/9,305.10 = 4,509.27/x
  3. Step 3: Cross multiply
    6,740.01x = 9,305.10 × 4,509.27
  4. Step 4: Simplify right side
    6,740.01x = 41,959,208.28
  5. Step 5: Solve for x
    x = 41,959,208.28/6,740.01
  6. Step 6: Final answer
    x = 6,225.39

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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.