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Finding the Fourth Proportional to 10,344.80, 14,270.64 and 6,561.44

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Solution

The fourth proportional to 10,344.80, 14,270.64 and 6,561.44 is: 9,051.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,344.80 : 14,270.64 = 6,561.44 : x
  2. Step 2: Convert to fraction form
    10,344.80/14,270.64 = 6,561.44/x
  3. Step 3: Cross multiply
    10,344.80x = 14,270.64 × 6,561.44
  4. Step 4: Simplify right side
    10,344.80x = 93,635,948.12
  5. Step 5: Solve for x
    x = 93,635,948.12/10,344.80
  6. Step 6: Final answer
    x = 9,051.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.