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Finding the Fourth Proportional to 9,656.96, 14,471.40 and 7,180.16

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Solution

The fourth proportional to 9,656.96, 14,471.40 and 7,180.16 is: 10,759.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,656.96 : 14,471.40 = 7,180.16 : x
  2. Step 2: Convert to fraction form
    9,656.96/14,471.40 = 7,180.16/x
  3. Step 3: Cross multiply
    9,656.96x = 14,471.40 × 7,180.16
  4. Step 4: Simplify right side
    9,656.96x = 103,906,967.42
  5. Step 5: Solve for x
    x = 103,906,967.42/9,656.96
  6. Step 6: Final answer
    x = 10,759.80

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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.