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Finding the Fourth Proportional to 6,484.32, 9,685.08 and 5,609.52

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Solution

The fourth proportional to 6,484.32, 9,685.08 and 5,609.52 is: 8,378.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,484.32 : 9,685.08 = 5,609.52 : x
  2. Step 2: Convert to fraction form
    6,484.32/9,685.08 = 5,609.52/x
  3. Step 3: Cross multiply
    6,484.32x = 9,685.08 × 5,609.52
  4. Step 4: Simplify right side
    6,484.32x = 54,328,649.96
  5. Step 5: Solve for x
    x = 54,328,649.96/6,484.32
  6. Step 6: Final answer
    x = 8,378.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.