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Finding the Fourth Proportional to 9,507.30, 14,262.84 and 4,829.94

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Solution

The fourth proportional to 9,507.30, 14,262.84 and 4,829.94 is: 7,245.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,507.30 : 14,262.84 = 4,829.94 : x
  2. Step 2: Convert to fraction form
    9,507.30/14,262.84 = 4,829.94/x
  3. Step 3: Cross multiply
    9,507.30x = 14,262.84 × 4,829.94
  4. Step 4: Simplify right side
    9,507.30x = 68,888,661.43
  5. Step 5: Solve for x
    x = 68,888,661.43/9,507.30
  6. Step 6: Final answer
    x = 7,245.87

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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.