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Finding the Fourth Proportional to 9,321.35, 13,982.80 and 4,056.54

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Solution

The fourth proportional to 9,321.35, 13,982.80 and 4,056.54 is: 6,085.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,321.35 : 13,982.80 = 4,056.54 : x
  2. Step 2: Convert to fraction form
    9,321.35/13,982.80 = 4,056.54/x
  3. Step 3: Cross multiply
    9,321.35x = 13,982.80 × 4,056.54
  4. Step 4: Simplify right side
    9,321.35x = 56,721,783.28
  5. Step 5: Solve for x
    x = 56,721,783.28/9,321.35
  6. Step 6: Final answer
    x = 6,085.14

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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.