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Finding the Fourth Proportional to 9,130.75, 13,694.02 and 2,557.60

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Solution

The fourth proportional to 9,130.75, 13,694.02 and 2,557.60 is: 3,835.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,130.75 : 13,694.02 = 2,557.60 : x
  2. Step 2: Convert to fraction form
    9,130.75/13,694.02 = 2,557.60/x
  3. Step 3: Cross multiply
    9,130.75x = 13,694.02 × 2,557.60
  4. Step 4: Simplify right side
    9,130.75x = 35,023,825.55
  5. Step 5: Solve for x
    x = 35,023,825.55/9,130.75
  6. Step 6: Final answer
    x = 3,835.81

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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.