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Finding the Fourth Proportional to 9,172.60, 13,749.28 and 4,486.14

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Solution

The fourth proportional to 9,172.60, 13,749.28 and 4,486.14 is: 6,724.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,172.60 : 13,749.28 = 4,486.14 : x
  2. Step 2: Convert to fraction form
    9,172.60/13,749.28 = 4,486.14/x
  3. Step 3: Cross multiply
    9,172.60x = 13,749.28 × 4,486.14
  4. Step 4: Simplify right side
    9,172.60x = 61,681,183.76
  5. Step 5: Solve for x
    x = 61,681,183.76/9,172.60
  6. Step 6: Final answer
    x = 6,724.51

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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.