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Finding the Fourth Proportional to 9,507.98, 13,125.65 and 5,972.94

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Solution

The fourth proportional to 9,507.98, 13,125.65 and 5,972.94 is: 8,245.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,507.98 : 13,125.65 = 5,972.94 : x
  2. Step 2: Convert to fraction form
    9,507.98/13,125.65 = 5,972.94/x
  3. Step 3: Cross multiply
    9,507.98x = 13,125.65 × 5,972.94
  4. Step 4: Simplify right side
    9,507.98x = 78,398,690.05
  5. Step 5: Solve for x
    x = 78,398,690.05/9,507.98
  6. Step 6: Final answer
    x = 8,245.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.