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Finding the Fourth Proportional to 9,241.99, 13,925.34 and 7,634.53

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Solution

The fourth proportional to 9,241.99, 13,925.34 and 7,634.53 is: 11,503.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,241.99 : 13,925.34 = 7,634.53 : x
  2. Step 2: Convert to fraction form
    9,241.99/13,925.34 = 7,634.53/x
  3. Step 3: Cross multiply
    9,241.99x = 13,925.34 × 7,634.53
  4. Step 4: Simplify right side
    9,241.99x = 106,313,425.99
  5. Step 5: Solve for x
    x = 106,313,425.99/9,241.99
  6. Step 6: Final answer
    x = 11,503.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.