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Finding the Fourth Proportional to 9,101.72, 13,654.74 and 3,907.64

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Solution

The fourth proportional to 9,101.72, 13,654.74 and 3,907.64 is: 5,862.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,101.72 : 13,654.74 = 3,907.64 : x
  2. Step 2: Convert to fraction form
    9,101.72/13,654.74 = 3,907.64/x
  3. Step 3: Cross multiply
    9,101.72x = 13,654.74 × 3,907.64
  4. Step 4: Simplify right side
    9,101.72x = 53,357,808.21
  5. Step 5: Solve for x
    x = 53,357,808.21/9,101.72
  6. Step 6: Final answer
    x = 5,862.39

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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.