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Finding the Fourth Proportional to 9,847.52, 13,590.86 and 5,655.80

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Solution

The fourth proportional to 9,847.52, 13,590.86 and 5,655.80 is: 7,805.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,847.52 : 13,590.86 = 5,655.80 : x
  2. Step 2: Convert to fraction form
    9,847.52/13,590.86 = 5,655.80/x
  3. Step 3: Cross multiply
    9,847.52x = 13,590.86 × 5,655.80
  4. Step 4: Simplify right side
    9,847.52x = 76,867,185.99
  5. Step 5: Solve for x
    x = 76,867,185.99/9,847.52
  6. Step 6: Final answer
    x = 7,805.74

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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.