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Finding the Fourth Proportional to 9,858.96, 14,801.40 and 9,043.92

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Solution

The fourth proportional to 9,858.96, 14,801.40 and 9,043.92 is: 13,577.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,858.96 : 14,801.40 = 9,043.92 : x
  2. Step 2: Convert to fraction form
    9,858.96/14,801.40 = 9,043.92/x
  3. Step 3: Cross multiply
    9,858.96x = 14,801.40 × 9,043.92
  4. Step 4: Simplify right side
    9,858.96x = 133,862,677.49
  5. Step 5: Solve for x
    x = 133,862,677.49/9,858.96
  6. Step 6: Final answer
    x = 13,577.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.