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Finding the Fourth Proportional to 9,566.36, 13,201.04 and 5,374.61

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Solution

The fourth proportional to 9,566.36, 13,201.04 and 5,374.61 is: 7,416.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,566.36 : 13,201.04 = 5,374.61 : x
  2. Step 2: Convert to fraction form
    9,566.36/13,201.04 = 5,374.61/x
  3. Step 3: Cross multiply
    9,566.36x = 13,201.04 × 5,374.61
  4. Step 4: Simplify right side
    9,566.36x = 70,950,441.59
  5. Step 5: Solve for x
    x = 70,950,441.59/9,566.36
  6. Step 6: Final answer
    x = 7,416.66

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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.