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Finding the Fourth Proportional to 9,633.63, 14,440.32 and 4,696.41

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Solution

The fourth proportional to 9,633.63, 14,440.32 and 4,696.41 is: 7,039.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,633.63 : 14,440.32 = 4,696.41 : x
  2. Step 2: Convert to fraction form
    9,633.63/14,440.32 = 4,696.41/x
  3. Step 3: Cross multiply
    9,633.63x = 14,440.32 × 4,696.41
  4. Step 4: Simplify right side
    9,633.63x = 67,817,663.25
  5. Step 5: Solve for x
    x = 67,817,663.25/9,633.63
  6. Step 6: Final answer
    x = 7,039.68

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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.