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Finding the Fourth Proportional to 9,550.76, 13,178.58 and 5,358.20

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Solution

The fourth proportional to 9,550.76, 13,178.58 and 5,358.20 is: 7,393.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,550.76 : 13,178.58 = 5,358.20 : x
  2. Step 2: Convert to fraction form
    9,550.76/13,178.58 = 5,358.20/x
  3. Step 3: Cross multiply
    9,550.76x = 13,178.58 × 5,358.20
  4. Step 4: Simplify right side
    9,550.76x = 70,613,467.36
  5. Step 5: Solve for x
    x = 70,613,467.36/9,550.76
  6. Step 6: Final answer
    x = 7,393.49

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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.