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Finding the Fourth Proportional to 9,609.58, 13,259.20 and 5,834.73

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Solution

The fourth proportional to 9,609.58, 13,259.20 and 5,834.73 is: 8,050.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,609.58 : 13,259.20 = 5,834.73 : x
  2. Step 2: Convert to fraction form
    9,609.58/13,259.20 = 5,834.73/x
  3. Step 3: Cross multiply
    9,609.58x = 13,259.20 × 5,834.73
  4. Step 4: Simplify right side
    9,609.58x = 77,363,852.02
  5. Step 5: Solve for x
    x = 77,363,852.02/9,609.58
  6. Step 6: Final answer
    x = 8,050.70

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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.