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Finding the Fourth Proportional to 9,246.77, 12,760.53 and 4,997.83

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Solution

The fourth proportional to 9,246.77, 12,760.53 and 4,997.83 is: 6,896.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,246.77 : 12,760.53 = 4,997.83 : x
  2. Step 2: Convert to fraction form
    9,246.77/12,760.53 = 4,997.83/x
  3. Step 3: Cross multiply
    9,246.77x = 12,760.53 × 4,997.83
  4. Step 4: Simplify right side
    9,246.77x = 63,774,895.85
  5. Step 5: Solve for x
    x = 63,774,895.85/9,246.77
  6. Step 6: Final answer
    x = 6,896.99

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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.