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Finding the Fourth Proportional to 9,709.88, 13,395.86 and 5,459.96

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Solution

The fourth proportional to 9,709.88, 13,395.86 and 5,459.96 is: 7,532.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,709.88 : 13,395.86 = 5,459.96 : x
  2. Step 2: Convert to fraction form
    9,709.88/13,395.86 = 5,459.96/x
  3. Step 3: Cross multiply
    9,709.88x = 13,395.86 × 5,459.96
  4. Step 4: Simplify right side
    9,709.88x = 73,140,865.96
  5. Step 5: Solve for x
    x = 73,140,865.96/9,709.88
  6. Step 6: Final answer
    x = 7,532.62

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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.