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Finding the Fourth Proportional to 9,314.21, 12,848.49 and 5,904.99

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Solution

The fourth proportional to 9,314.21, 12,848.49 and 5,904.99 is: 8,145.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314.21 : 12,848.49 = 5,904.99 : x
  2. Step 2: Convert to fraction form
    9,314.21/12,848.49 = 5,904.99/x
  3. Step 3: Cross multiply
    9,314.21x = 12,848.49 × 5,904.99
  4. Step 4: Simplify right side
    9,314.21x = 75,870,204.97
  5. Step 5: Solve for x
    x = 75,870,204.97/9,314.21
  6. Step 6: Final answer
    x = 8,145.64

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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.