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Finding the Fourth Proportional to 6,810.68, 9,400.36 and 4,160.34

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Solution

The fourth proportional to 6,810.68, 9,400.36 and 4,160.34 is: 5,742.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,810.68 : 9,400.36 = 4,160.34 : x
  2. Step 2: Convert to fraction form
    6,810.68/9,400.36 = 4,160.34/x
  3. Step 3: Cross multiply
    6,810.68x = 9,400.36 × 4,160.34
  4. Step 4: Simplify right side
    6,810.68x = 39,108,693.72
  5. Step 5: Solve for x
    x = 39,108,693.72/6,810.68
  6. Step 6: Final answer
    x = 5,742.26

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