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Finding the Fourth Proportional to 9,446.16, 14,164.02 and 3,818.76

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Solution

The fourth proportional to 9,446.16, 14,164.02 and 3,818.76 is: 5,726.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,446.16 : 14,164.02 = 3,818.76 : x
  2. Step 2: Convert to fraction form
    9,446.16/14,164.02 = 3,818.76/x
  3. Step 3: Cross multiply
    9,446.16x = 14,164.02 × 3,818.76
  4. Step 4: Simplify right side
    9,446.16x = 54,088,993.02
  5. Step 5: Solve for x
    x = 54,088,993.02/9,446.16
  6. Step 6: Final answer
    x = 5,726.03

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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.