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Finding the Fourth Proportional to 6,051.31, 9,072.71 and 3,420.53

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Solution

The fourth proportional to 6,051.31, 9,072.71 and 3,420.53 is: 5,128.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,051.31 : 9,072.71 = 3,420.53 : x
  2. Step 2: Convert to fraction form
    6,051.31/9,072.71 = 3,420.53/x
  3. Step 3: Cross multiply
    6,051.31x = 9,072.71 × 3,420.53
  4. Step 4: Simplify right side
    6,051.31x = 31,033,461.12
  5. Step 5: Solve for x
    x = 31,033,461.12/6,051.31
  6. Step 6: Final answer
    x = 5,128.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.