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Finding the Fourth Proportional to 10,391.61, 14,355.60 and 8,991.93

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Solution

The fourth proportional to 10,391.61, 14,355.60 and 8,991.93 is: 12,422.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,391.61 : 14,355.60 = 8,991.93 : x
  2. Step 2: Convert to fraction form
    10,391.61/14,355.60 = 8,991.93/x
  3. Step 3: Cross multiply
    10,391.61x = 14,355.60 × 8,991.93
  4. Step 4: Simplify right side
    10,391.61x = 129,084,550.31
  5. Step 5: Solve for x
    x = 129,084,550.31/10,391.61
  6. Step 6: Final answer
    x = 12,422.00

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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.