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Finding the Fourth Proportional to 9,659.24, 14,492.10 and 3,086.36

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Solution

The fourth proportional to 9,659.24, 14,492.10 and 3,086.36 is: 4,630.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,659.24 : 14,492.10 = 3,086.36 : x
  2. Step 2: Convert to fraction form
    9,659.24/14,492.10 = 3,086.36/x
  3. Step 3: Cross multiply
    9,659.24x = 14,492.10 × 3,086.36
  4. Step 4: Simplify right side
    9,659.24x = 44,727,837.76
  5. Step 5: Solve for x
    x = 44,727,837.76/9,659.24
  6. Step 6: Final answer
    x = 4,630.58

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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.