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Finding the Fourth Proportional to 9,445.16, 14,162.52 and 3,817.76

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Solution

The fourth proportional to 9,445.16, 14,162.52 and 3,817.76 is: 5,724.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,445.16 : 14,162.52 = 3,817.76 : x
  2. Step 2: Convert to fraction form
    9,445.16/14,162.52 = 3,817.76/x
  3. Step 3: Cross multiply
    9,445.16x = 14,162.52 × 3,817.76
  4. Step 4: Simplify right side
    9,445.16x = 54,069,102.36
  5. Step 5: Solve for x
    x = 54,069,102.36/9,445.16
  6. Step 6: Final answer
    x = 5,724.53

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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.