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Finding the Fourth Proportional to 9,644.04, 14,469.36 and 4,446

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Solution

The fourth proportional to 9,644.04, 14,469.36 and 4,446 is: 6,670.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.04 : 14,469.36 = 4,446 : x
  2. Step 2: Convert to fraction form
    9,644.04/14,469.36 = 4,446/x
  3. Step 3: Cross multiply
    9,644.04x = 14,469.36 × 4,446
  4. Step 4: Simplify right side
    9,644.04x = 64,330,774.56
  5. Step 5: Solve for x
    x = 64,330,774.56/9,644.04
  6. Step 6: Final answer
    x = 6,670.52

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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.