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Finding the Fourth Proportional to 9,179.60, 13,759.76 and 4,493.16

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Solution

The fourth proportional to 9,179.60, 13,759.76 and 4,493.16 is: 6,735.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,179.60 : 13,759.76 = 4,493.16 : x
  2. Step 2: Convert to fraction form
    9,179.60/13,759.76 = 4,493.16/x
  3. Step 3: Cross multiply
    9,179.60x = 13,759.76 × 4,493.16
  4. Step 4: Simplify right side
    9,179.60x = 61,824,803.24
  5. Step 5: Solve for x
    x = 61,824,803.24/9,179.60
  6. Step 6: Final answer
    x = 6,735.02

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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.