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Finding the Fourth Proportional to 9,644.04, 14,465.79 and 5,203.65

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Solution

The fourth proportional to 9,644.04, 14,465.79 and 5,203.65 is: 7,805.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.04 : 14,465.79 = 5,203.65 : x
  2. Step 2: Convert to fraction form
    9,644.04/14,465.79 = 5,203.65/x
  3. Step 3: Cross multiply
    9,644.04x = 14,465.79 × 5,203.65
  4. Step 4: Simplify right side
    9,644.04x = 75,274,908.13
  5. Step 5: Solve for x
    x = 75,274,908.13/9,644.04
  6. Step 6: Final answer
    x = 7,805.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.