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Finding the Fourth Proportional to 6,503.31, 9,753.93 and 1,822.83

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Solution

The fourth proportional to 6,503.31, 9,753.93 and 1,822.83 is: 2,733.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.31 : 9,753.93 = 1,822.83 : x
  2. Step 2: Convert to fraction form
    6,503.31/9,753.93 = 1,822.83/x
  3. Step 3: Cross multiply
    6,503.31x = 9,753.93 × 1,822.83
  4. Step 4: Simplify right side
    6,503.31x = 17,779,756.22
  5. Step 5: Solve for x
    x = 17,779,756.22/6,503.31
  6. Step 6: Final answer
    x = 2,733.95

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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.