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Finding the Fourth Proportional to 6,495.30, 8,963.64 and 3,842.73

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Solution

The fourth proportional to 6,495.30, 8,963.64 and 3,842.73 is: 5,303.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,495.30 : 8,963.64 = 3,842.73 : x
  2. Step 2: Convert to fraction form
    6,495.30/8,963.64 = 3,842.73/x
  3. Step 3: Cross multiply
    6,495.30x = 8,963.64 × 3,842.73
  4. Step 4: Simplify right side
    6,495.30x = 34,444,848.34
  5. Step 5: Solve for x
    x = 34,444,848.34/6,495.30
  6. Step 6: Final answer
    x = 5,303.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.