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Finding the Fourth Proportional to 9,507, 14,260.56 and 2,581.56

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Solution

The fourth proportional to 9,507, 14,260.56 and 2,581.56 is: 3,872.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,507 : 14,260.56 = 2,581.56 : x
  2. Step 2: Convert to fraction form
    9,507/14,260.56 = 2,581.56/x
  3. Step 3: Cross multiply
    9,507x = 14,260.56 × 2,581.56
  4. Step 4: Simplify right side
    9,507x = 36,814,491.27
  5. Step 5: Solve for x
    x = 36,814,491.27/9,507
  6. Step 6: Final answer
    x = 3,872.36

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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.