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Finding the Fourth Proportional to 6,295.04, 9,444 and 3,008.96

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Solution

The fourth proportional to 6,295.04, 9,444 and 3,008.96 is: 4,514.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,295.04 : 9,444 = 3,008.96 : x
  2. Step 2: Convert to fraction form
    6,295.04/9,444 = 3,008.96/x
  3. Step 3: Cross multiply
    6,295.04x = 9,444 × 3,008.96
  4. Step 4: Simplify right side
    6,295.04x = 28,416,618.24
  5. Step 5: Solve for x
    x = 28,416,618.24/6,295.04
  6. Step 6: Final answer
    x = 4,514.13

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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.