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Finding the Fourth Proportional to 9,144.60, 13,731.30 and 5,256.60

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Solution

The fourth proportional to 9,144.60, 13,731.30 and 5,256.60 is: 7,893.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,144.60 : 13,731.30 = 5,256.60 : x
  2. Step 2: Convert to fraction form
    9,144.60/13,731.30 = 5,256.60/x
  3. Step 3: Cross multiply
    9,144.60x = 13,731.30 × 5,256.60
  4. Step 4: Simplify right side
    9,144.60x = 72,179,951.58
  5. Step 5: Solve for x
    x = 72,179,951.58/9,144.60
  6. Step 6: Final answer
    x = 7,893.18

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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.