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Finding the Fourth Proportional to 9,499.39, 13,096.86 and 6,509.88

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Solution

The fourth proportional to 9,499.39, 13,096.86 and 6,509.88 is: 8,975.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,499.39 : 13,096.86 = 6,509.88 : x
  2. Step 2: Convert to fraction form
    9,499.39/13,096.86 = 6,509.88/x
  3. Step 3: Cross multiply
    9,499.39x = 13,096.86 × 6,509.88
  4. Step 4: Simplify right side
    9,499.39x = 85,258,986.98
  5. Step 5: Solve for x
    x = 85,258,986.98/9,499.39
  6. Step 6: Final answer
    x = 8,975.21

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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.