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Finding the Fourth Proportional to 9,643.04, 14,464.29 and 5,202.65

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Solution

The fourth proportional to 9,643.04, 14,464.29 and 5,202.65 is: 7,803.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643.04 : 14,464.29 = 5,202.65 : x
  2. Step 2: Convert to fraction form
    9,643.04/14,464.29 = 5,202.65/x
  3. Step 3: Cross multiply
    9,643.04x = 14,464.29 × 5,202.65
  4. Step 4: Simplify right side
    9,643.04x = 75,252,566.05
  5. Step 5: Solve for x
    x = 75,252,566.05/9,643.04
  6. Step 6: Final answer
    x = 7,803.83

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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.