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Finding the Fourth Proportional to 9,969.87, 14,957.07 and 3,308.50

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Solution

The fourth proportional to 9,969.87, 14,957.07 and 3,308.50 is: 4,963.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,969.87 : 14,957.07 = 3,308.50 : x
  2. Step 2: Convert to fraction form
    9,969.87/14,957.07 = 3,308.50/x
  3. Step 3: Cross multiply
    9,969.87x = 14,957.07 × 3,308.50
  4. Step 4: Simplify right side
    9,969.87x = 49,485,466.10
  5. Step 5: Solve for x
    x = 49,485,466.10/9,969.87
  6. Step 6: Final answer
    x = 4,963.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.