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Finding the Fourth Proportional to 9,630.60, 14,436.18 and 5,238.96

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Solution

The fourth proportional to 9,630.60, 14,436.18 and 5,238.96 is: 7,853.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,630.60 : 14,436.18 = 5,238.96 : x
  2. Step 2: Convert to fraction form
    9,630.60/14,436.18 = 5,238.96/x
  3. Step 3: Cross multiply
    9,630.60x = 14,436.18 × 5,238.96
  4. Step 4: Simplify right side
    9,630.60x = 75,630,569.57
  5. Step 5: Solve for x
    x = 75,630,569.57/9,630.60
  6. Step 6: Final answer
    x = 7,853.15

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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.