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Finding the Fourth Proportional to 9,968.40, 14,963.40 and 6,274.80

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Solution

The fourth proportional to 9,968.40, 14,963.40 and 6,274.80 is: 9,419.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,968.40 : 14,963.40 = 6,274.80 : x
  2. Step 2: Convert to fraction form
    9,968.40/14,963.40 = 6,274.80/x
  3. Step 3: Cross multiply
    9,968.40x = 14,963.40 × 6,274.80
  4. Step 4: Simplify right side
    9,968.40x = 93,892,342.32
  5. Step 5: Solve for x
    x = 93,892,342.32/9,968.40
  6. Step 6: Final answer
    x = 9,419.00

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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.