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Finding the Fourth Proportional to 9,903.12, 14,853.06 and 2,976

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Solution

The fourth proportional to 9,903.12, 14,853.06 and 2,976 is: 4,463.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,903.12 : 14,853.06 = 2,976 : x
  2. Step 2: Convert to fraction form
    9,903.12/14,853.06 = 2,976/x
  3. Step 3: Cross multiply
    9,903.12x = 14,853.06 × 2,976
  4. Step 4: Simplify right side
    9,903.12x = 44,202,706.56
  5. Step 5: Solve for x
    x = 44,202,706.56/9,903.12
  6. Step 6: Final answer
    x = 4,463.51

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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.