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Finding the Fourth Proportional to 9,774.45, 14,666.00 and 3,942.45

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Solution

The fourth proportional to 9,774.45, 14,666.00 and 3,942.45 is: 5,915.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.45 : 14,666.00 = 3,942.45 : x
  2. Step 2: Convert to fraction form
    9,774.45/14,666.00 = 3,942.45/x
  3. Step 3: Cross multiply
    9,774.45x = 14,666.00 × 3,942.45
  4. Step 4: Simplify right side
    9,774.45x = 57,819,951.99
  5. Step 5: Solve for x
    x = 57,819,951.99/9,774.45
  6. Step 6: Final answer
    x = 5,915.42

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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.