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Finding the Fourth Proportional to 9,428.34, 14,145.75 and 5,914.11

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Solution

The fourth proportional to 9,428.34, 14,145.75 and 5,914.11 is: 8,873.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,428.34 : 14,145.75 = 5,914.11 : x
  2. Step 2: Convert to fraction form
    9,428.34/14,145.75 = 5,914.11/x
  3. Step 3: Cross multiply
    9,428.34x = 14,145.75 × 5,914.11
  4. Step 4: Simplify right side
    9,428.34x = 83,659,521.53
  5. Step 5: Solve for x
    x = 83,659,521.53/9,428.34
  6. Step 6: Final answer
    x = 8,873.20

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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.