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Finding the Fourth Proportional to 6,534.96, 9,021.02 and 4,180.29

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Solution

The fourth proportional to 6,534.96, 9,021.02 and 4,180.29 is: 5,770.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,534.96 : 9,021.02 = 4,180.29 : x
  2. Step 2: Convert to fraction form
    6,534.96/9,021.02 = 4,180.29/x
  3. Step 3: Cross multiply
    6,534.96x = 9,021.02 × 4,180.29
  4. Step 4: Simplify right side
    6,534.96x = 37,710,458.79
  5. Step 5: Solve for x
    x = 37,710,458.79/6,534.96
  6. Step 6: Final answer
    x = 5,770.57

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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.