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Finding the Fourth Proportional to 9,107.72, 13,646.54 and 4,166.46

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Solution

The fourth proportional to 9,107.72, 13,646.54 and 4,166.46 is: 6,242.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,107.72 : 13,646.54 = 4,166.46 : x
  2. Step 2: Convert to fraction form
    9,107.72/13,646.54 = 4,166.46/x
  3. Step 3: Cross multiply
    9,107.72x = 13,646.54 × 4,166.46
  4. Step 4: Simplify right side
    9,107.72x = 56,857,742.22
  5. Step 5: Solve for x
    x = 56,857,742.22/9,107.72
  6. Step 6: Final answer
    x = 6,242.81

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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.