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Finding the Fourth Proportional to 9,151.67, 12,629.87 and 5,173.46

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Solution

The fourth proportional to 9,151.67, 12,629.87 and 5,173.46 is: 7,139.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,151.67 : 12,629.87 = 5,173.46 : x
  2. Step 2: Convert to fraction form
    9,151.67/12,629.87 = 5,173.46/x
  3. Step 3: Cross multiply
    9,151.67x = 12,629.87 × 5,173.46
  4. Step 4: Simplify right side
    9,151.67x = 65,340,038.23
  5. Step 5: Solve for x
    x = 65,340,038.23/9,151.67
  6. Step 6: Final answer
    x = 7,139.69

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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.