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Finding the Fourth Proportional to 9,475.66, 14,209.53 and 4,544.14

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Solution

The fourth proportional to 9,475.66, 14,209.53 and 4,544.14 is: 6,814.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,475.66 : 14,209.53 = 4,544.14 : x
  2. Step 2: Convert to fraction form
    9,475.66/14,209.53 = 4,544.14/x
  3. Step 3: Cross multiply
    9,475.66x = 14,209.53 × 4,544.14
  4. Step 4: Simplify right side
    9,475.66x = 64,570,093.65
  5. Step 5: Solve for x
    x = 64,570,093.65/9,475.66
  6. Step 6: Final answer
    x = 6,814.31

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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.