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Finding the Fourth Proportional to 9,452.88, 14,176.44 and 5,346

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Solution

The fourth proportional to 9,452.88, 14,176.44 and 5,346 is: 8,017.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,452.88 : 14,176.44 = 5,346 : x
  2. Step 2: Convert to fraction form
    9,452.88/14,176.44 = 5,346/x
  3. Step 3: Cross multiply
    9,452.88x = 14,176.44 × 5,346
  4. Step 4: Simplify right side
    9,452.88x = 75,787,248.24
  5. Step 5: Solve for x
    x = 75,787,248.24/9,452.88
  6. Step 6: Final answer
    x = 8,017.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.