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Finding the Fourth Proportional to 9,441.77, 13,029.80 and 5,193.18

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Solution

The fourth proportional to 9,441.77, 13,029.80 and 5,193.18 is: 7,166.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,441.77 : 13,029.80 = 5,193.18 : x
  2. Step 2: Convert to fraction form
    9,441.77/13,029.80 = 5,193.18/x
  3. Step 3: Cross multiply
    9,441.77x = 13,029.80 × 5,193.18
  4. Step 4: Simplify right side
    9,441.77x = 67,666,070.80
  5. Step 5: Solve for x
    x = 67,666,070.80/9,441.77
  6. Step 6: Final answer
    x = 7,166.68

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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.