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Finding the Fourth Proportional to 9,035.19, 12,473.46 and 8,323.74

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Solution

The fourth proportional to 9,035.19, 12,473.46 and 8,323.74 is: 11,491.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,035.19 : 12,473.46 = 8,323.74 : x
  2. Step 2: Convert to fraction form
    9,035.19/12,473.46 = 8,323.74/x
  3. Step 3: Cross multiply
    9,035.19x = 12,473.46 × 8,323.74
  4. Step 4: Simplify right side
    9,035.19x = 103,825,837.94
  5. Step 5: Solve for x
    x = 103,825,837.94/9,035.19
  6. Step 6: Final answer
    x = 11,491.27

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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.