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Finding the Fourth Proportional to 9,638.40, 14,446.80 and 4,956.60

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Solution

The fourth proportional to 9,638.40, 14,446.80 and 4,956.60 is: 7,429.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,638.40 : 14,446.80 = 4,956.60 : x
  2. Step 2: Convert to fraction form
    9,638.40/14,446.80 = 4,956.60/x
  3. Step 3: Cross multiply
    9,638.40x = 14,446.80 × 4,956.60
  4. Step 4: Simplify right side
    9,638.40x = 71,607,008.88
  5. Step 5: Solve for x
    x = 71,607,008.88/9,638.40
  6. Step 6: Final answer
    x = 7,429.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.