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Finding the Fourth Proportional to 9,491.84, 13,096.24 and 6,508.60

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Solution

The fourth proportional to 9,491.84, 13,096.24 and 6,508.60 is: 8,980.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,491.84 : 13,096.24 = 6,508.60 : x
  2. Step 2: Convert to fraction form
    9,491.84/13,096.24 = 6,508.60/x
  3. Step 3: Cross multiply
    9,491.84x = 13,096.24 × 6,508.60
  4. Step 4: Simplify right side
    9,491.84x = 85,238,187.66
  5. Step 5: Solve for x
    x = 85,238,187.66/9,491.84
  6. Step 6: Final answer
    x = 8,980.15

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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.