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Finding the Fourth Proportional to 9,443.47, 13,032.00 and 5,194.59

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Solution

The fourth proportional to 9,443.47, 13,032.00 and 5,194.59 is: 7,168.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,443.47 : 13,032.00 = 5,194.59 : x
  2. Step 2: Convert to fraction form
    9,443.47/13,032.00 = 5,194.59/x
  3. Step 3: Cross multiply
    9,443.47x = 13,032.00 × 5,194.59
  4. Step 4: Simplify right side
    9,443.47x = 67,695,870.91
  5. Step 5: Solve for x
    x = 67,695,870.91/9,443.47
  6. Step 6: Final answer
    x = 7,168.54

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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.