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Finding the Fourth Proportional to 6,892.30, 9,666.50 and 6,892.30

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Solution

The fourth proportional to 6,892.30, 9,666.50 and 6,892.30 is: 9,666.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,892.30 : 9,666.50 = 6,892.30 : x
  2. Step 2: Convert to fraction form
    6,892.30/9,666.50 = 6,892.30/x
  3. Step 3: Cross multiply
    6,892.30x = 9,666.50 × 6,892.30
  4. Step 4: Simplify right side
    6,892.30x = 66,624,417.95
  5. Step 5: Solve for x
    x = 66,624,417.95/6,892.30
  6. Step 6: Final answer
    x = 9,666.50

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.