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Finding the Fourth Proportional to 9,489.53, 13,094.56 and 5,509.86

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Solution

The fourth proportional to 9,489.53, 13,094.56 and 5,509.86 is: 7,603.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,489.53 : 13,094.56 = 5,509.86 : x
  2. Step 2: Convert to fraction form
    9,489.53/13,094.56 = 5,509.86/x
  3. Step 3: Cross multiply
    9,489.53x = 13,094.56 × 5,509.86
  4. Step 4: Simplify right side
    9,489.53x = 72,149,217.36
  5. Step 5: Solve for x
    x = 72,149,217.36/9,489.53
  6. Step 6: Final answer
    x = 7,603.03

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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.