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Finding the Fourth Proportional to 9,645.41, 14,469.16 and 3,070.06

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Solution

The fourth proportional to 9,645.41, 14,469.16 and 3,070.06 is: 4,605.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,645.41 : 14,469.16 = 3,070.06 : x
  2. Step 2: Convert to fraction form
    9,645.41/14,469.16 = 3,070.06/x
  3. Step 3: Cross multiply
    9,645.41x = 14,469.16 × 3,070.06
  4. Step 4: Simplify right side
    9,645.41x = 44,421,183.32
  5. Step 5: Solve for x
    x = 44,421,183.32/9,645.41
  6. Step 6: Final answer
    x = 4,605.42

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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.