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Finding the Fourth Proportional to 9,653.82, 14,482.65 and 4,107.12

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Solution

The fourth proportional to 9,653.82, 14,482.65 and 4,107.12 is: 6,161.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,653.82 : 14,482.65 = 4,107.12 : x
  2. Step 2: Convert to fraction form
    9,653.82/14,482.65 = 4,107.12/x
  3. Step 3: Cross multiply
    9,653.82x = 14,482.65 × 4,107.12
  4. Step 4: Simplify right side
    9,653.82x = 59,481,981.47
  5. Step 5: Solve for x
    x = 59,481,981.47/9,653.82
  6. Step 6: Final answer
    x = 6,161.50

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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.