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Finding the Fourth Proportional to 9,314.21, 12,852.53 and 5,335.09

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Solution

The fourth proportional to 9,314.21, 12,852.53 and 5,335.09 is: 7,361.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314.21 : 12,852.53 = 5,335.09 : x
  2. Step 2: Convert to fraction form
    9,314.21/12,852.53 = 5,335.09/x
  3. Step 3: Cross multiply
    9,314.21x = 12,852.53 × 5,335.09
  4. Step 4: Simplify right side
    9,314.21x = 68,569,353.35
  5. Step 5: Solve for x
    x = 68,569,353.35/9,314.21
  6. Step 6: Final answer
    x = 7,361.80

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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.