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Finding the Fourth Proportional to 9,605.12, 14,458.59 and 6,850.85

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Solution

The fourth proportional to 9,605.12, 14,458.59 and 6,850.85 is: 10,312.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,605.12 : 14,458.59 = 6,850.85 : x
  2. Step 2: Convert to fraction form
    9,605.12/14,458.59 = 6,850.85/x
  3. Step 3: Cross multiply
    9,605.12x = 14,458.59 × 6,850.85
  4. Step 4: Simplify right side
    9,605.12x = 99,053,559.01
  5. Step 5: Solve for x
    x = 99,053,559.01/9,605.12
  6. Step 6: Final answer
    x = 10,312.58

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.