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Finding the Fourth Proportional to 9,114.64, 13,670.60 and 2,540.16

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Solution

The fourth proportional to 9,114.64, 13,670.60 and 2,540.16 is: 3,809.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,114.64 : 13,670.60 = 2,540.16 : x
  2. Step 2: Convert to fraction form
    9,114.64/13,670.60 = 2,540.16/x
  3. Step 3: Cross multiply
    9,114.64x = 13,670.60 × 2,540.16
  4. Step 4: Simplify right side
    9,114.64x = 34,725,511.30
  5. Step 5: Solve for x
    x = 34,725,511.30/9,114.64
  6. Step 6: Final answer
    x = 3,809.86

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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.