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Finding the Fourth Proportional to 10,771.84, 14,892.40 and 9,459.20

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Solution

The fourth proportional to 10,771.84, 14,892.40 and 9,459.20 is: 13,077.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,771.84 : 14,892.40 = 9,459.20 : x
  2. Step 2: Convert to fraction form
    10,771.84/14,892.40 = 9,459.20/x
  3. Step 3: Cross multiply
    10,771.84x = 14,892.40 × 9,459.20
  4. Step 4: Simplify right side
    10,771.84x = 140,870,190.08
  5. Step 5: Solve for x
    x = 140,870,190.08/10,771.84
  6. Step 6: Final answer
    x = 13,077.63

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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.