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Finding the Fourth Proportional to 9,109.83, 13,654.47 and 4,655.04

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Solution

The fourth proportional to 9,109.83, 13,654.47 and 4,655.04 is: 6,977.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,109.83 : 13,654.47 = 4,655.04 : x
  2. Step 2: Convert to fraction form
    9,109.83/13,654.47 = 4,655.04/x
  3. Step 3: Cross multiply
    9,109.83x = 13,654.47 × 4,655.04
  4. Step 4: Simplify right side
    9,109.83x = 63,562,104.03
  5. Step 5: Solve for x
    x = 63,562,104.03/9,109.83
  6. Step 6: Final answer
    x = 6,977.31

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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.