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Finding the Fourth Proportional to 9,824.34, 14,727.06 and 6,304.50

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Solution

The fourth proportional to 9,824.34, 14,727.06 and 6,304.50 is: 9,450.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,824.34 : 14,727.06 = 6,304.50 : x
  2. Step 2: Convert to fraction form
    9,824.34/14,727.06 = 6,304.50/x
  3. Step 3: Cross multiply
    9,824.34x = 14,727.06 × 6,304.50
  4. Step 4: Simplify right side
    9,824.34x = 92,846,749.77
  5. Step 5: Solve for x
    x = 92,846,749.77/9,824.34
  6. Step 6: Final answer
    x = 9,450.69

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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.