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Finding the Fourth Proportional to 9,034.56, 12,466.50 and 5,055.24

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Solution

The fourth proportional to 9,034.56, 12,466.50 and 5,055.24 is: 6,975.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,034.56 : 12,466.50 = 5,055.24 : x
  2. Step 2: Convert to fraction form
    9,034.56/12,466.50 = 5,055.24/x
  3. Step 3: Cross multiply
    9,034.56x = 12,466.50 × 5,055.24
  4. Step 4: Simplify right side
    9,034.56x = 63,021,149.46
  5. Step 5: Solve for x
    x = 63,021,149.46/9,034.56
  6. Step 6: Final answer
    x = 6,975.56

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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.