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Finding the Fourth Proportional to 9,811.59, 13,538.50 and 6,035.37

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Solution

The fourth proportional to 9,811.59, 13,538.50 and 6,035.37 is: 8,327.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811.59 : 13,538.50 = 6,035.37 : x
  2. Step 2: Convert to fraction form
    9,811.59/13,538.50 = 6,035.37/x
  3. Step 3: Cross multiply
    9,811.59x = 13,538.50 × 6,035.37
  4. Step 4: Simplify right side
    9,811.59x = 81,709,856.75
  5. Step 5: Solve for x
    x = 81,709,856.75/9,811.59
  6. Step 6: Final answer
    x = 8,327.89

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Why These Related Problems?

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