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Finding the Fourth Proportional to 9,032.91, 12,464.55 and 5,629.59

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Solution

The fourth proportional to 9,032.91, 12,464.55 and 5,629.59 is: 7,768.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,032.91 : 12,464.55 = 5,629.59 : x
  2. Step 2: Convert to fraction form
    9,032.91/12,464.55 = 5,629.59/x
  3. Step 3: Cross multiply
    9,032.91x = 12,464.55 × 5,629.59
  4. Step 4: Simplify right side
    9,032.91x = 70,170,306.03
  5. Step 5: Solve for x
    x = 70,170,306.03/9,032.91
  6. Step 6: Final answer
    x = 7,768.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.