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Finding the Fourth Proportional to 9,893.20, 14,839.80 and 9,747.40

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Solution

The fourth proportional to 9,893.20, 14,839.80 and 9,747.40 is: 14,621.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,893.20 : 14,839.80 = 9,747.40 : x
  2. Step 2: Convert to fraction form
    9,893.20/14,839.80 = 9,747.40/x
  3. Step 3: Cross multiply
    9,893.20x = 14,839.80 × 9,747.40
  4. Step 4: Simplify right side
    9,893.20x = 144,649,466.52
  5. Step 5: Solve for x
    x = 144,649,466.52/9,893.20
  6. Step 6: Final answer
    x = 14,621.10

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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.