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Finding the Fourth Proportional to 9,612.12, 14,410.02 and 4,069.80

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Solution

The fourth proportional to 9,612.12, 14,410.02 and 4,069.80 is: 6,101.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,612.12 : 14,410.02 = 4,069.80 : x
  2. Step 2: Convert to fraction form
    9,612.12/14,410.02 = 4,069.80/x
  3. Step 3: Cross multiply
    9,612.12x = 14,410.02 × 4,069.80
  4. Step 4: Simplify right side
    9,612.12x = 58,645,899.40
  5. Step 5: Solve for x
    x = 58,645,899.40/9,612.12
  6. Step 6: Final answer
    x = 6,101.25

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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.