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Finding the Fourth Proportional to 9,661.32, 14,493.04 and 3,085.96

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Solution

The fourth proportional to 9,661.32, 14,493.04 and 3,085.96 is: 4,629.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,661.32 : 14,493.04 = 3,085.96 : x
  2. Step 2: Convert to fraction form
    9,661.32/14,493.04 = 3,085.96/x
  3. Step 3: Cross multiply
    9,661.32x = 14,493.04 × 3,085.96
  4. Step 4: Simplify right side
    9,661.32x = 44,724,941.72
  5. Step 5: Solve for x
    x = 44,724,941.72/9,661.32
  6. Step 6: Final answer
    x = 4,629.28

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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.