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Finding the Fourth Proportional to 9,782.32, 13,498.08 and 6,426.48

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Solution

The fourth proportional to 9,782.32, 13,498.08 and 6,426.48 is: 8,867.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.32 : 13,498.08 = 6,426.48 : x
  2. Step 2: Convert to fraction form
    9,782.32/13,498.08 = 6,426.48/x
  3. Step 3: Cross multiply
    9,782.32x = 13,498.08 × 6,426.48
  4. Step 4: Simplify right side
    9,782.32x = 86,745,141.16
  5. Step 5: Solve for x
    x = 86,745,141.16/9,782.32
  6. Step 6: Final answer
    x = 8,867.54

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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.