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Finding the Fourth Proportional to 9,358.50, 14,040.36 and 2,784.96

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Solution

The fourth proportional to 9,358.50, 14,040.36 and 2,784.96 is: 4,178.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,358.50 : 14,040.36 = 2,784.96 : x
  2. Step 2: Convert to fraction form
    9,358.50/14,040.36 = 2,784.96/x
  3. Step 3: Cross multiply
    9,358.50x = 14,040.36 × 2,784.96
  4. Step 4: Simplify right side
    9,358.50x = 39,101,840.99
  5. Step 5: Solve for x
    x = 39,101,840.99/9,358.50
  6. Step 6: Final answer
    x = 4,178.22

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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.