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Finding the Fourth Proportional to 9,614.72, 13,267.52 and 5,424

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Solution

The fourth proportional to 9,614.72, 13,267.52 and 5,424 is: 7,484.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.72 : 13,267.52 = 5,424 : x
  2. Step 2: Convert to fraction form
    9,614.72/13,267.52 = 5,424/x
  3. Step 3: Cross multiply
    9,614.72x = 13,267.52 × 5,424
  4. Step 4: Simplify right side
    9,614.72x = 71,963,028.48
  5. Step 5: Solve for x
    x = 71,963,028.48/9,614.72
  6. Step 6: Final answer
    x = 7,484.67

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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.