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Finding the Fourth Proportional to 9,963.70, 14,940.15 and 4,113.70

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Solution

The fourth proportional to 9,963.70, 14,940.15 and 4,113.70 is: 6,168.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,963.70 : 14,940.15 = 4,113.70 : x
  2. Step 2: Convert to fraction form
    9,963.70/14,940.15 = 4,113.70/x
  3. Step 3: Cross multiply
    9,963.70x = 14,940.15 × 4,113.70
  4. Step 4: Simplify right side
    9,963.70x = 61,459,295.06
  5. Step 5: Solve for x
    x = 61,459,295.06/9,963.70
  6. Step 6: Final answer
    x = 6,168.32

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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.