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Finding the Fourth Proportional to 9,208.32, 12,701.52 and 6,847.44

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Solution

The fourth proportional to 9,208.32, 12,701.52 and 6,847.44 is: 9,445.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,208.32 : 12,701.52 = 6,847.44 : x
  2. Step 2: Convert to fraction form
    9,208.32/12,701.52 = 6,847.44/x
  3. Step 3: Cross multiply
    9,208.32x = 12,701.52 × 6,847.44
  4. Step 4: Simplify right side
    9,208.32x = 86,972,896.11
  5. Step 5: Solve for x
    x = 86,972,896.11/9,208.32
  6. Step 6: Final answer
    x = 9,445.03

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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.