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Finding the Fourth Proportional to 6,407.80, 9,611.70 and 5,423.65

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Solution

The fourth proportional to 6,407.80, 9,611.70 and 5,423.65 is: 8,135.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.80 : 9,611.70 = 5,423.65 : x
  2. Step 2: Convert to fraction form
    6,407.80/9,611.70 = 5,423.65/x
  3. Step 3: Cross multiply
    6,407.80x = 9,611.70 × 5,423.65
  4. Step 4: Simplify right side
    6,407.80x = 52,130,496.71
  5. Step 5: Solve for x
    x = 52,130,496.71/6,407.80
  6. Step 6: Final answer
    x = 8,135.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.