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Finding the Fourth Proportional to 6,646.14, 9,969.17 and 3,686.40

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Solution

The fourth proportional to 6,646.14, 9,969.17 and 3,686.40 is: 5,529.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.14 : 9,969.17 = 3,686.40 : x
  2. Step 2: Convert to fraction form
    6,646.14/9,969.17 = 3,686.40/x
  3. Step 3: Cross multiply
    6,646.14x = 9,969.17 × 3,686.40
  4. Step 4: Simplify right side
    6,646.14x = 36,750,329.86
  5. Step 5: Solve for x
    x = 36,750,329.86/6,646.14
  6. Step 6: Final answer
    x = 5,529.58

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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.