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Finding the Fourth Proportional to 9,846.23, 13,587.82 and 5,597.32

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Solution

The fourth proportional to 9,846.23, 13,587.82 and 5,597.32 is: 7,724.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,846.23 : 13,587.82 = 5,597.32 : x
  2. Step 2: Convert to fraction form
    9,846.23/13,587.82 = 5,597.32/x
  3. Step 3: Cross multiply
    9,846.23x = 13,587.82 × 5,597.32
  4. Step 4: Simplify right side
    9,846.23x = 76,055,376.64
  5. Step 5: Solve for x
    x = 76,055,376.64/9,846.23
  6. Step 6: Final answer
    x = 7,724.31

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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.