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Finding the Fourth Proportional to 9,633, 14,454.18 and 4,436.04

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Solution

The fourth proportional to 9,633, 14,454.18 and 4,436.04 is: 6,656.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,633 : 14,454.18 = 4,436.04 : x
  2. Step 2: Convert to fraction form
    9,633/14,454.18 = 4,436.04/x
  3. Step 3: Cross multiply
    9,633x = 14,454.18 × 4,436.04
  4. Step 4: Simplify right side
    9,633x = 64,119,320.65
  5. Step 5: Solve for x
    x = 64,119,320.65/9,633
  6. Step 6: Final answer
    x = 6,656.22

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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.