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Finding the Fourth Proportional to 9,136.64, 12,606.38 and 6,303.11

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Solution

The fourth proportional to 9,136.64, 12,606.38 and 6,303.11 is: 8,696.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,136.64 : 12,606.38 = 6,303.11 : x
  2. Step 2: Convert to fraction form
    9,136.64/12,606.38 = 6,303.11/x
  3. Step 3: Cross multiply
    9,136.64x = 12,606.38 × 6,303.11
  4. Step 4: Simplify right side
    9,136.64x = 79,459,305.29
  5. Step 5: Solve for x
    x = 79,459,305.29/9,136.64
  6. Step 6: Final answer
    x = 8,696.78

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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.