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Finding the Fourth Proportional to 6,289.30, 8,672.09 and 4,017.63

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Solution

The fourth proportional to 6,289.30, 8,672.09 and 4,017.63 is: 5,539.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,289.30 : 8,672.09 = 4,017.63 : x
  2. Step 2: Convert to fraction form
    6,289.30/8,672.09 = 4,017.63/x
  3. Step 3: Cross multiply
    6,289.30x = 8,672.09 × 4,017.63
  4. Step 4: Simplify right side
    6,289.30x = 34,841,199.51
  5. Step 5: Solve for x
    x = 34,841,199.51/6,289.30
  6. Step 6: Final answer
    x = 5,539.76

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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.