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Finding the Fourth Proportional to 9,151.95, 12,629.19 and 5,172.84

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Solution

The fourth proportional to 9,151.95, 12,629.19 and 5,172.84 is: 7,138.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,151.95 : 12,629.19 = 5,172.84 : x
  2. Step 2: Convert to fraction form
    9,151.95/12,629.19 = 5,172.84/x
  3. Step 3: Cross multiply
    9,151.95x = 12,629.19 × 5,172.84
  4. Step 4: Simplify right side
    9,151.95x = 65,328,779.20
  5. Step 5: Solve for x
    x = 65,328,779.20/9,151.95
  6. Step 6: Final answer
    x = 7,138.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.