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Finding the Fourth Proportional to 9,847.31, 13,594.30 and 7,604.15

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Solution

The fourth proportional to 9,847.31, 13,594.30 and 7,604.15 is: 10,497.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,847.31 : 13,594.30 = 7,604.15 : x
  2. Step 2: Convert to fraction form
    9,847.31/13,594.30 = 7,604.15/x
  3. Step 3: Cross multiply
    9,847.31x = 13,594.30 × 7,604.15
  4. Step 4: Simplify right side
    9,847.31x = 103,373,009.36
  5. Step 5: Solve for x
    x = 103,373,009.36/9,847.31
  6. Step 6: Final answer
    x = 10,497.59

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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.