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Finding the Fourth Proportional to 9,738.40, 14,618.40 and 6,044.80

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Solution

The fourth proportional to 9,738.40, 14,618.40 and 6,044.80 is: 9,073.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,738.40 : 14,618.40 = 6,044.80 : x
  2. Step 2: Convert to fraction form
    9,738.40/14,618.40 = 6,044.80/x
  3. Step 3: Cross multiply
    9,738.40x = 14,618.40 × 6,044.80
  4. Step 4: Simplify right side
    9,738.40x = 88,365,304.32
  5. Step 5: Solve for x
    x = 88,365,304.32/9,738.40
  6. Step 6: Final answer
    x = 9,073.90

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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.