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Finding the Fourth Proportional to 9,034.74, 13,541.72 and 3,485.63

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Solution

The fourth proportional to 9,034.74, 13,541.72 and 3,485.63 is: 5,224.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,034.74 : 13,541.72 = 3,485.63 : x
  2. Step 2: Convert to fraction form
    9,034.74/13,541.72 = 3,485.63/x
  3. Step 3: Cross multiply
    9,034.74x = 13,541.72 × 3,485.63
  4. Step 4: Simplify right side
    9,034.74x = 47,201,441.91
  5. Step 5: Solve for x
    x = 47,201,441.91/9,034.74
  6. Step 6: Final answer
    x = 5,224.44

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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.