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Finding the Fourth Proportional to 9,441.98, 13,029.63 and 5,193.02

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Solution

The fourth proportional to 9,441.98, 13,029.63 and 5,193.02 is: 7,166.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,441.98 : 13,029.63 = 5,193.02 : x
  2. Step 2: Convert to fraction form
    9,441.98/13,029.63 = 5,193.02/x
  3. Step 3: Cross multiply
    9,441.98x = 13,029.63 × 5,193.02
  4. Step 4: Simplify right side
    9,441.98x = 67,663,064.03
  5. Step 5: Solve for x
    x = 67,663,064.03/9,441.98
  6. Step 6: Final answer
    x = 7,166.20

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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.