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Finding the Fourth Proportional to 9,825.54, 13,559.12 and 6,473.22

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Solution

The fourth proportional to 9,825.54, 13,559.12 and 6,473.22 is: 8,932.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,825.54 : 13,559.12 = 6,473.22 : x
  2. Step 2: Convert to fraction form
    9,825.54/13,559.12 = 6,473.22/x
  3. Step 3: Cross multiply
    9,825.54x = 13,559.12 × 6,473.22
  4. Step 4: Simplify right side
    9,825.54x = 87,771,166.77
  5. Step 5: Solve for x
    x = 87,771,166.77/9,825.54
  6. Step 6: Final answer
    x = 8,932.96

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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.