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Finding the Fourth Proportional to 9,900.70, 14,846.31 and 3,325.06

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Solution

The fourth proportional to 9,900.70, 14,846.31 and 3,325.06 is: 4,986.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,900.70 : 14,846.31 = 3,325.06 : x
  2. Step 2: Convert to fraction form
    9,900.70/14,846.31 = 3,325.06/x
  3. Step 3: Cross multiply
    9,900.70x = 14,846.31 × 3,325.06
  4. Step 4: Simplify right side
    9,900.70x = 49,364,871.53
  5. Step 5: Solve for x
    x = 49,364,871.53/9,900.70
  6. Step 6: Final answer
    x = 4,986.00

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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.