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Finding the Fourth Proportional to 7,153.28, 9,869.66 and 4,318.42

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Solution

The fourth proportional to 7,153.28, 9,869.66 and 4,318.42 is: 5,958.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,153.28 : 9,869.66 = 4,318.42 : x
  2. Step 2: Convert to fraction form
    7,153.28/9,869.66 = 4,318.42/x
  3. Step 3: Cross multiply
    7,153.28x = 9,869.66 × 4,318.42
  4. Step 4: Simplify right side
    7,153.28x = 42,621,337.14
  5. Step 5: Solve for x
    x = 42,621,337.14/7,153.28
  6. Step 6: Final answer
    x = 5,958.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.