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Finding the Fourth Proportional to 9,034.07, 12,465.72 and 5,629.64

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Solution

The fourth proportional to 9,034.07, 12,465.72 and 5,629.64 is: 7,768.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,034.07 : 12,465.72 = 5,629.64 : x
  2. Step 2: Convert to fraction form
    9,034.07/12,465.72 = 5,629.64/x
  3. Step 3: Cross multiply
    9,034.07x = 12,465.72 × 5,629.64
  4. Step 4: Simplify right side
    9,034.07x = 70,177,453.61
  5. Step 5: Solve for x
    x = 70,177,453.61/9,034.07
  6. Step 6: Final answer
    x = 7,768.09

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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.