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Finding the Fourth Proportional to 9,507.73, 14,267.73 and 5,128.24

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Solution

The fourth proportional to 9,507.73, 14,267.73 and 5,128.24 is: 7,695.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,507.73 : 14,267.73 = 5,128.24 : x
  2. Step 2: Convert to fraction form
    9,507.73/14,267.73 = 5,128.24/x
  3. Step 3: Cross multiply
    9,507.73x = 14,267.73 × 5,128.24
  4. Step 4: Simplify right side
    9,507.73x = 73,168,343.70
  5. Step 5: Solve for x
    x = 73,168,343.70/9,507.73
  6. Step 6: Final answer
    x = 7,695.67

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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.