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Finding the Fourth Proportional to 6,135.76, 9,203.76 and 1,753.36

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Solution

The fourth proportional to 6,135.76, 9,203.76 and 1,753.36 is: 2,630.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,135.76 : 9,203.76 = 1,753.36 : x
  2. Step 2: Convert to fraction form
    6,135.76/9,203.76 = 1,753.36/x
  3. Step 3: Cross multiply
    6,135.76x = 9,203.76 × 1,753.36
  4. Step 4: Simplify right side
    6,135.76x = 16,137,504.63
  5. Step 5: Solve for x
    x = 16,137,504.63/6,135.76
  6. Step 6: Final answer
    x = 2,630.07

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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.