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Finding the Fourth Proportional to 9,659.54, 14,492.41 and 4,396.43

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Solution

The fourth proportional to 9,659.54, 14,492.41 and 4,396.43 is: 6,596.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,659.54 : 14,492.41 = 4,396.43 : x
  2. Step 2: Convert to fraction form
    9,659.54/14,492.41 = 4,396.43/x
  3. Step 3: Cross multiply
    9,659.54x = 14,492.41 × 4,396.43
  4. Step 4: Simplify right side
    9,659.54x = 63,714,866.10
  5. Step 5: Solve for x
    x = 63,714,866.10/9,659.54
  6. Step 6: Final answer
    x = 6,596.06

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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.