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Finding the Fourth Proportional to 9,834.94, 14,750.36 and 3,597.89

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Solution

The fourth proportional to 9,834.94, 14,750.36 and 3,597.89 is: 5,396.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,834.94 : 14,750.36 = 3,597.89 : x
  2. Step 2: Convert to fraction form
    9,834.94/14,750.36 = 3,597.89/x
  3. Step 3: Cross multiply
    9,834.94x = 14,750.36 × 3,597.89
  4. Step 4: Simplify right side
    9,834.94x = 53,070,172.74
  5. Step 5: Solve for x
    x = 53,070,172.74/9,834.94
  6. Step 6: Final answer
    x = 5,396.09

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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.