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Finding the Fourth Proportional to 9,651.66, 14,478.66 and 3,410.40

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Solution

The fourth proportional to 9,651.66, 14,478.66 and 3,410.40 is: 5,116.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,651.66 : 14,478.66 = 3,410.40 : x
  2. Step 2: Convert to fraction form
    9,651.66/14,478.66 = 3,410.40/x
  3. Step 3: Cross multiply
    9,651.66x = 14,478.66 × 3,410.40
  4. Step 4: Simplify right side
    9,651.66x = 49,377,932.62
  5. Step 5: Solve for x
    x = 49,377,932.62/9,651.66
  6. Step 6: Final answer
    x = 5,116.00

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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.