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Finding the Fourth Proportional to 9,651.53, 14,473.65 and 4,107.49

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Solution

The fourth proportional to 9,651.53, 14,473.65 and 4,107.49 is: 6,159.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,651.53 : 14,473.65 = 4,107.49 : x
  2. Step 2: Convert to fraction form
    9,651.53/14,473.65 = 4,107.49/x
  3. Step 3: Cross multiply
    9,651.53x = 14,473.65 × 4,107.49
  4. Step 4: Simplify right side
    9,651.53x = 59,450,300.27
  5. Step 5: Solve for x
    x = 59,450,300.27/9,651.53
  6. Step 6: Final answer
    x = 6,159.68

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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.