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Finding the Fourth Proportional to 9,452.52, 13,044.76 and 5,419.94

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Solution

The fourth proportional to 9,452.52, 13,044.76 and 5,419.94 is: 7,479.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,452.52 : 13,044.76 = 5,419.94 : x
  2. Step 2: Convert to fraction form
    9,452.52/13,044.76 = 5,419.94/x
  3. Step 3: Cross multiply
    9,452.52x = 13,044.76 × 5,419.94
  4. Step 4: Simplify right side
    9,452.52x = 70,701,737.74
  5. Step 5: Solve for x
    x = 70,701,737.74/9,452.52
  6. Step 6: Final answer
    x = 7,479.67

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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.