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Finding the Fourth Proportional to 9,550.00, 13,178.04 and 5,300.74

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Solution

The fourth proportional to 9,550.00, 13,178.04 and 5,300.74 is: 7,314.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,550.00 : 13,178.04 = 5,300.74 : x
  2. Step 2: Convert to fraction form
    9,550.00/13,178.04 = 5,300.74/x
  3. Step 3: Cross multiply
    9,550.00x = 13,178.04 × 5,300.74
  4. Step 4: Simplify right side
    9,550.00x = 69,853,297.86
  5. Step 5: Solve for x
    x = 69,853,297.86/9,550.00
  6. Step 6: Final answer
    x = 7,314.49

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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.