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Finding the Fourth Proportional to 9,969.02, 14,965.05 and 6,026.30

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Solution

The fourth proportional to 9,969.02, 14,965.05 and 6,026.30 is: 9,046.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,969.02 : 14,965.05 = 6,026.30 : x
  2. Step 2: Convert to fraction form
    9,969.02/14,965.05 = 6,026.30/x
  3. Step 3: Cross multiply
    9,969.02x = 14,965.05 × 6,026.30
  4. Step 4: Simplify right side
    9,969.02x = 90,183,880.82
  5. Step 5: Solve for x
    x = 90,183,880.82/9,969.02
  6. Step 6: Final answer
    x = 9,046.41

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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.