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Finding the Fourth Proportional to 9,654.30, 14,470.41 and 3,807.90

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Solution

The fourth proportional to 9,654.30, 14,470.41 and 3,807.90 is: 5,707.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,654.30 : 14,470.41 = 3,807.90 : x
  2. Step 2: Convert to fraction form
    9,654.30/14,470.41 = 3,807.90/x
  3. Step 3: Cross multiply
    9,654.30x = 14,470.41 × 3,807.90
  4. Step 4: Simplify right side
    9,654.30x = 55,101,874.24
  5. Step 5: Solve for x
    x = 55,101,874.24/9,654.30
  6. Step 6: Final answer
    x = 5,707.50

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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.