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Finding the Fourth Proportional to 9,659.32, 14,493.58 and 4,726.26

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Solution

The fourth proportional to 9,659.32, 14,493.58 and 4,726.26 is: 7,091.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,659.32 : 14,493.58 = 4,726.26 : x
  2. Step 2: Convert to fraction form
    9,659.32/14,493.58 = 4,726.26/x
  3. Step 3: Cross multiply
    9,659.32x = 14,493.58 × 4,726.26
  4. Step 4: Simplify right side
    9,659.32x = 68,500,427.41
  5. Step 5: Solve for x
    x = 68,500,427.41/9,659.32
  6. Step 6: Final answer
    x = 7,091.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.