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Finding the Fourth Proportional to 9,450, 13,034.56 and 5,670.56

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Solution

The fourth proportional to 9,450, 13,034.56 and 5,670.56 is: 7,821.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,450 : 13,034.56 = 5,670.56 : x
  2. Step 2: Convert to fraction form
    9,450/13,034.56 = 5,670.56/x
  3. Step 3: Cross multiply
    9,450x = 13,034.56 × 5,670.56
  4. Step 4: Simplify right side
    9,450x = 73,913,254.55
  5. Step 5: Solve for x
    x = 73,913,254.55/9,450
  6. Step 6: Final answer
    x = 7,821.51

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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.