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Finding the Fourth Proportional to 9,638.09, 14,447.07 and 4,700.94

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Solution

The fourth proportional to 9,638.09, 14,447.07 and 4,700.94 is: 7,046.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,638.09 : 14,447.07 = 4,700.94 : x
  2. Step 2: Convert to fraction form
    9,638.09/14,447.07 = 4,700.94/x
  3. Step 3: Cross multiply
    9,638.09x = 14,447.07 × 4,700.94
  4. Step 4: Simplify right side
    9,638.09x = 67,914,809.25
  5. Step 5: Solve for x
    x = 67,914,809.25/9,638.09
  6. Step 6: Final answer
    x = 7,046.50

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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.