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Finding the Fourth Proportional to 6,147.18, 9,220.71 and 1,764.63

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Solution

The fourth proportional to 6,147.18, 9,220.71 and 1,764.63 is: 2,646.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147.18 : 9,220.71 = 1,764.63 : x
  2. Step 2: Convert to fraction form
    6,147.18/9,220.71 = 1,764.63/x
  3. Step 3: Cross multiply
    6,147.18x = 9,220.71 × 1,764.63
  4. Step 4: Simplify right side
    6,147.18x = 16,271,141.49
  5. Step 5: Solve for x
    x = 16,271,141.49/6,147.18
  6. Step 6: Final answer
    x = 2,646.93

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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.