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Finding the Fourth Proportional to 6,218.24, 9,328.64 and 1,836

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Solution

The fourth proportional to 6,218.24, 9,328.64 and 1,836 is: 2,754.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,218.24 : 9,328.64 = 1,836 : x
  2. Step 2: Convert to fraction form
    6,218.24/9,328.64 = 1,836/x
  3. Step 3: Cross multiply
    6,218.24x = 9,328.64 × 1,836
  4. Step 4: Simplify right side
    6,218.24x = 17,127,373.86
  5. Step 5: Solve for x
    x = 17,127,373.86/6,218.24
  6. Step 6: Final answer
    x = 2,754.38

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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.