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Finding the Fourth Proportional to 9,115.34, 13,673.02 and 3,920

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Solution

The fourth proportional to 9,115.34, 13,673.02 and 3,920 is: 5,880.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,115.34 : 13,673.02 = 3,920 : x
  2. Step 2: Convert to fraction form
    9,115.34/13,673.02 = 3,920/x
  3. Step 3: Cross multiply
    9,115.34x = 13,673.02 × 3,920
  4. Step 4: Simplify right side
    9,115.34x = 53,598,238.40
  5. Step 5: Solve for x
    x = 53,598,238.40/9,115.34
  6. Step 6: Final answer
    x = 5,880.00

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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.