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Finding the Fourth Proportional to 6,292.42, 9,445.93 and 3,376.42

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Solution

The fourth proportional to 6,292.42, 9,445.93 and 3,376.42 is: 5,068.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,292.42 : 9,445.93 = 3,376.42 : x
  2. Step 2: Convert to fraction form
    6,292.42/9,445.93 = 3,376.42/x
  3. Step 3: Cross multiply
    6,292.42x = 9,445.93 × 3,376.42
  4. Step 4: Simplify right side
    6,292.42x = 31,893,394.91
  5. Step 5: Solve for x
    x = 31,893,394.91/6,292.42
  6. Step 6: Final answer
    x = 5,068.54

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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.