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Finding the Fourth Proportional to 9,662.31, 14,496.03 and 3,088.62

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Solution

The fourth proportional to 9,662.31, 14,496.03 and 3,088.62 is: 4,633.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.31 : 14,496.03 = 3,088.62 : x
  2. Step 2: Convert to fraction form
    9,662.31/14,496.03 = 3,088.62/x
  3. Step 3: Cross multiply
    9,662.31x = 14,496.03 × 3,088.62
  4. Step 4: Simplify right side
    9,662.31x = 44,772,728.18
  5. Step 5: Solve for x
    x = 44,772,728.18/9,662.31
  6. Step 6: Final answer
    x = 4,633.75

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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.