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Finding the Fourth Proportional to 9,017.70, 13,514.40 and 3,465.96

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Solution

The fourth proportional to 9,017.70, 13,514.40 and 3,465.96 is: 5,194.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,017.70 : 13,514.40 = 3,465.96 : x
  2. Step 2: Convert to fraction form
    9,017.70/13,514.40 = 3,465.96/x
  3. Step 3: Cross multiply
    9,017.70x = 13,514.40 × 3,465.96
  4. Step 4: Simplify right side
    9,017.70x = 46,840,369.82
  5. Step 5: Solve for x
    x = 46,840,369.82/9,017.70
  6. Step 6: Final answer
    x = 5,194.27

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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.