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Finding the Fourth Proportional to 6,477.31, 9,699.56 and 4,004.63

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Solution

The fourth proportional to 6,477.31, 9,699.56 and 4,004.63 is: 5,996.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.31 : 9,699.56 = 4,004.63 : x
  2. Step 2: Convert to fraction form
    6,477.31/9,699.56 = 4,004.63/x
  3. Step 3: Cross multiply
    6,477.31x = 9,699.56 × 4,004.63
  4. Step 4: Simplify right side
    6,477.31x = 38,843,128.94
  5. Step 5: Solve for x
    x = 38,843,128.94/6,477.31
  6. Step 6: Final answer
    x = 5,996.80

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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.