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Finding the Fourth Proportional to 9,472.57, 13,071.94 and 5,494.05

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Solution

The fourth proportional to 9,472.57, 13,071.94 and 5,494.05 is: 7,581.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,472.57 : 13,071.94 = 5,494.05 : x
  2. Step 2: Convert to fraction form
    9,472.57/13,071.94 = 5,494.05/x
  3. Step 3: Cross multiply
    9,472.57x = 13,071.94 × 5,494.05
  4. Step 4: Simplify right side
    9,472.57x = 71,817,878.22
  5. Step 5: Solve for x
    x = 71,817,878.22/9,472.57
  6. Step 6: Final answer
    x = 7,581.67

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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.