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Finding the Fourth Proportional to 10,369.79, 14,313.45 and 9,840.86

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Solution

The fourth proportional to 10,369.79, 14,313.45 and 9,840.86 is: 13,583.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,369.79 : 14,313.45 = 9,840.86 : x
  2. Step 2: Convert to fraction form
    10,369.79/14,313.45 = 9,840.86/x
  3. Step 3: Cross multiply
    10,369.79x = 14,313.45 × 9,840.86
  4. Step 4: Simplify right side
    10,369.79x = 140,856,657.57
  5. Step 5: Solve for x
    x = 140,856,657.57/10,369.79
  6. Step 6: Final answer
    x = 13,583.37

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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.