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Finding the Fourth Proportional to 9,566.72, 13,198.48 and 7,054.83

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Solution

The fourth proportional to 9,566.72, 13,198.48 and 7,054.83 is: 9,733.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,566.72 : 13,198.48 = 7,054.83 : x
  2. Step 2: Convert to fraction form
    9,566.72/13,198.48 = 7,054.83/x
  3. Step 3: Cross multiply
    9,566.72x = 13,198.48 × 7,054.83
  4. Step 4: Simplify right side
    9,566.72x = 93,113,032.66
  5. Step 5: Solve for x
    x = 93,113,032.66/9,566.72
  6. Step 6: Final answer
    x = 9,733.02

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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.