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Finding the Fourth Proportional to 9,491.64, 13,098.96 and 6,135

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Solution

The fourth proportional to 9,491.64, 13,098.96 and 6,135 is: 8,466.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,491.64 : 13,098.96 = 6,135 : x
  2. Step 2: Convert to fraction form
    9,491.64/13,098.96 = 6,135/x
  3. Step 3: Cross multiply
    9,491.64x = 13,098.96 × 6,135
  4. Step 4: Simplify right side
    9,491.64x = 80,362,119.60
  5. Step 5: Solve for x
    x = 80,362,119.60/9,491.64
  6. Step 6: Final answer
    x = 8,466.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.