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Finding the Fourth Proportional to 6,685.18, 9,225.65 and 3,660.25

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Solution

The fourth proportional to 6,685.18, 9,225.65 and 3,660.25 is: 5,051.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,685.18 : 9,225.65 = 3,660.25 : x
  2. Step 2: Convert to fraction form
    6,685.18/9,225.65 = 3,660.25/x
  3. Step 3: Cross multiply
    6,685.18x = 9,225.65 × 3,660.25
  4. Step 4: Simplify right side
    6,685.18x = 33,768,139.28
  5. Step 5: Solve for x
    x = 33,768,139.28/6,685.18
  6. Step 6: Final answer
    x = 5,051.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.