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Finding the Fourth Proportional to 10,360.67, 14,309.60 and 6,839.60

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Solution

The fourth proportional to 10,360.67, 14,309.60 and 6,839.60 is: 9,446.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,360.67 : 14,309.60 = 6,839.60 : x
  2. Step 2: Convert to fraction form
    10,360.67/14,309.60 = 6,839.60/x
  3. Step 3: Cross multiply
    10,360.67x = 14,309.60 × 6,839.60
  4. Step 4: Simplify right side
    10,360.67x = 97,871,834.41
  5. Step 5: Solve for x
    x = 97,871,834.41/10,360.67
  6. Step 6: Final answer
    x = 9,446.48

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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.