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Finding the Fourth Proportional to 9,507.59, 14,245.33 and 4,234.53

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Solution

The fourth proportional to 9,507.59, 14,245.33 and 4,234.53 is: 6,344.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,507.59 : 14,245.33 = 4,234.53 : x
  2. Step 2: Convert to fraction form
    9,507.59/14,245.33 = 4,234.53/x
  3. Step 3: Cross multiply
    9,507.59x = 14,245.33 × 4,234.53
  4. Step 4: Simplify right side
    9,507.59x = 60,322,277.24
  5. Step 5: Solve for x
    x = 60,322,277.24/9,507.59
  6. Step 6: Final answer
    x = 6,344.64

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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.