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Finding the Fourth Proportional to 9,899.25, 14,830.34 and 4,963.11

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Solution

The fourth proportional to 9,899.25, 14,830.34 and 4,963.11 is: 7,435.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,899.25 : 14,830.34 = 4,963.11 : x
  2. Step 2: Convert to fraction form
    9,899.25/14,830.34 = 4,963.11/x
  3. Step 3: Cross multiply
    9,899.25x = 14,830.34 × 4,963.11
  4. Step 4: Simplify right side
    9,899.25x = 73,604,583.94
  5. Step 5: Solve for x
    x = 73,604,583.94/9,899.25
  6. Step 6: Final answer
    x = 7,435.37

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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.