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Finding the Fourth Proportional to 9,636.40, 14,443.80 and 4,954.60

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Solution

The fourth proportional to 9,636.40, 14,443.80 and 4,954.60 is: 7,426.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,636.40 : 14,443.80 = 4,954.60 : x
  2. Step 2: Convert to fraction form
    9,636.40/14,443.80 = 4,954.60/x
  3. Step 3: Cross multiply
    9,636.40x = 14,443.80 × 4,954.60
  4. Step 4: Simplify right side
    9,636.40x = 71,563,251.48
  5. Step 5: Solve for x
    x = 71,563,251.48/9,636.40
  6. Step 6: Final answer
    x = 7,426.35

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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.