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Finding the Fourth Proportional to 6,284.18, 9,427.86 and 4,438.91

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Solution

The fourth proportional to 6,284.18, 9,427.86 and 4,438.91 is: 6,659.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,284.18 : 9,427.86 = 4,438.91 : x
  2. Step 2: Convert to fraction form
    6,284.18/9,427.86 = 4,438.91/x
  3. Step 3: Cross multiply
    6,284.18x = 9,427.86 × 4,438.91
  4. Step 4: Simplify right side
    6,284.18x = 41,849,445.60
  5. Step 5: Solve for x
    x = 41,849,445.60/6,284.18
  6. Step 6: Final answer
    x = 6,659.49

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Why These Related Problems?

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