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Finding the Fourth Proportional to 9,510.54, 14,262.20 and 3,809.76

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Solution

The fourth proportional to 9,510.54, 14,262.20 and 3,809.76 is: 5,713.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,510.54 : 14,262.20 = 3,809.76 : x
  2. Step 2: Convert to fraction form
    9,510.54/14,262.20 = 3,809.76/x
  3. Step 3: Cross multiply
    9,510.54x = 14,262.20 × 3,809.76
  4. Step 4: Simplify right side
    9,510.54x = 54,335,559.07
  5. Step 5: Solve for x
    x = 54,335,559.07/9,510.54
  6. Step 6: Final answer
    x = 5,713.19

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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.