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Finding the Fourth Proportional to 9,289.58, 13,909.26 and 6,805.58

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Solution

The fourth proportional to 9,289.58, 13,909.26 and 6,805.58 is: 10,189.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,289.58 : 13,909.26 = 6,805.58 : x
  2. Step 2: Convert to fraction form
    9,289.58/13,909.26 = 6,805.58/x
  3. Step 3: Cross multiply
    9,289.58x = 13,909.26 × 6,805.58
  4. Step 4: Simplify right side
    9,289.58x = 94,660,581.67
  5. Step 5: Solve for x
    x = 94,660,581.67/9,289.58
  6. Step 6: Final answer
    x = 10,189.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.