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Finding the Fourth Proportional to 9,646.36, 13,306.02 and 6,620.10

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Solution

The fourth proportional to 9,646.36, 13,306.02 and 6,620.10 is: 9,131.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646.36 : 13,306.02 = 6,620.10 : x
  2. Step 2: Convert to fraction form
    9,646.36/13,306.02 = 6,620.10/x
  3. Step 3: Cross multiply
    9,646.36x = 13,306.02 × 6,620.10
  4. Step 4: Simplify right side
    9,646.36x = 88,087,183.00
  5. Step 5: Solve for x
    x = 88,087,183.00/9,646.36
  6. Step 6: Final answer
    x = 9,131.65

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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.