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Finding the Fourth Proportional to 9,642.75, 14,460.46 and 5,257.82

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Solution

The fourth proportional to 9,642.75, 14,460.46 and 5,257.82 is: 7,884.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.75 : 14,460.46 = 5,257.82 : x
  2. Step 2: Convert to fraction form
    9,642.75/14,460.46 = 5,257.82/x
  3. Step 3: Cross multiply
    9,642.75x = 14,460.46 × 5,257.82
  4. Step 4: Simplify right side
    9,642.75x = 76,030,495.80
  5. Step 5: Solve for x
    x = 76,030,495.80/9,642.75
  6. Step 6: Final answer
    x = 7,884.73

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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.