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Finding the Fourth Proportional to 9,318.96, 13,978.30 and 2,299.06

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Solution

The fourth proportional to 9,318.96, 13,978.30 and 2,299.06 is: 3,448.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,318.96 : 13,978.30 = 2,299.06 : x
  2. Step 2: Convert to fraction form
    9,318.96/13,978.30 = 2,299.06/x
  3. Step 3: Cross multiply
    9,318.96x = 13,978.30 × 2,299.06
  4. Step 4: Simplify right side
    9,318.96x = 32,136,950.40
  5. Step 5: Solve for x
    x = 32,136,950.40/9,318.96
  6. Step 6: Final answer
    x = 3,448.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.