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Finding the Fourth Proportional to 9,046.71, 13,574.69 and 4,308.23

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Solution

The fourth proportional to 9,046.71, 13,574.69 and 4,308.23 is: 6,464.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,046.71 : 13,574.69 = 4,308.23 : x
  2. Step 2: Convert to fraction form
    9,046.71/13,574.69 = 4,308.23/x
  3. Step 3: Cross multiply
    9,046.71x = 13,574.69 × 4,308.23
  4. Step 4: Simplify right side
    9,046.71x = 58,482,797.28
  5. Step 5: Solve for x
    x = 58,482,797.28/9,046.71
  6. Step 6: Final answer
    x = 6,464.54

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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.