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Finding the Fourth Proportional to 9,969.66, 14,957.21 and 2,950.02

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Solution

The fourth proportional to 9,969.66, 14,957.21 and 2,950.02 is: 4,425.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,969.66 : 14,957.21 = 2,950.02 : x
  2. Step 2: Convert to fraction form
    9,969.66/14,957.21 = 2,950.02/x
  3. Step 3: Cross multiply
    9,969.66x = 14,957.21 × 2,950.02
  4. Step 4: Simplify right side
    9,969.66x = 44,124,076.02
  5. Step 5: Solve for x
    x = 44,124,076.02/9,969.66
  6. Step 6: Final answer
    x = 4,425.84

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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.