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Finding the Fourth Proportional to 6,095.92, 9,144.40 and 2,397.92

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Solution

The fourth proportional to 6,095.92, 9,144.40 and 2,397.92 is: 3,597.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,095.92 : 9,144.40 = 2,397.92 : x
  2. Step 2: Convert to fraction form
    6,095.92/9,144.40 = 2,397.92/x
  3. Step 3: Cross multiply
    6,095.92x = 9,144.40 × 2,397.92
  4. Step 4: Simplify right side
    6,095.92x = 21,927,539.65
  5. Step 5: Solve for x
    x = 21,927,539.65/6,095.92
  6. Step 6: Final answer
    x = 3,597.08

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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.