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Finding the Fourth Proportional to 9,659.59, 14,492.13 and 3,086.29

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Solution

The fourth proportional to 9,659.59, 14,492.13 and 3,086.29 is: 4,630.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,659.59 : 14,492.13 = 3,086.29 : x
  2. Step 2: Convert to fraction form
    9,659.59/14,492.13 = 3,086.29/x
  3. Step 3: Cross multiply
    9,659.59x = 14,492.13 × 3,086.29
  4. Step 4: Simplify right side
    9,659.59x = 44,726,915.90
  5. Step 5: Solve for x
    x = 44,726,915.90/9,659.59
  6. Step 6: Final answer
    x = 4,630.31

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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.