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Finding the Fourth Proportional to 9,510.35, 14,262.80 and 3,665.61

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Solution

The fourth proportional to 9,510.35, 14,262.80 and 3,665.61 is: 5,497.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,510.35 : 14,262.80 = 3,665.61 : x
  2. Step 2: Convert to fraction form
    9,510.35/14,262.80 = 3,665.61/x
  3. Step 3: Cross multiply
    9,510.35x = 14,262.80 × 3,665.61
  4. Step 4: Simplify right side
    9,510.35x = 52,281,843.98
  5. Step 5: Solve for x
    x = 52,281,843.98/9,510.35
  6. Step 6: Final answer
    x = 5,497.37

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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.