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Finding the Fourth Proportional to 9,085.65, 12,530.69 and 6,405.80

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Solution

The fourth proportional to 9,085.65, 12,530.69 and 6,405.80 is: 8,834.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,085.65 : 12,530.69 = 6,405.80 : x
  2. Step 2: Convert to fraction form
    9,085.65/12,530.69 = 6,405.80/x
  3. Step 3: Cross multiply
    9,085.65x = 12,530.69 × 6,405.80
  4. Step 4: Simplify right side
    9,085.65x = 80,269,106.36
  5. Step 5: Solve for x
    x = 80,269,106.36/9,085.65
  6. Step 6: Final answer
    x = 8,834.71

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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.