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Finding the Fourth Proportional to 9,261.23, 13,875.65 and 7,711.20

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Solution

The fourth proportional to 9,261.23, 13,875.65 and 7,711.20 is: 11,553.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,261.23 : 13,875.65 = 7,711.20 : x
  2. Step 2: Convert to fraction form
    9,261.23/13,875.65 = 7,711.20/x
  3. Step 3: Cross multiply
    9,261.23x = 13,875.65 × 7,711.20
  4. Step 4: Simplify right side
    9,261.23x = 106,997,912.28
  5. Step 5: Solve for x
    x = 106,997,912.28/9,261.23
  6. Step 6: Final answer
    x = 11,553.32

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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.