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Finding the Fourth Proportional to 9,646.95, 13,306.82 and 6,620.69

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Solution

The fourth proportional to 9,646.95, 13,306.82 and 6,620.69 is: 9,132.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646.95 : 13,306.82 = 6,620.69 : x
  2. Step 2: Convert to fraction form
    9,646.95/13,306.82 = 6,620.69/x
  3. Step 3: Cross multiply
    9,646.95x = 13,306.82 × 6,620.69
  4. Step 4: Simplify right side
    9,646.95x = 88,100,280.12
  5. Step 5: Solve for x
    x = 88,100,280.12/9,646.95
  6. Step 6: Final answer
    x = 9,132.45

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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.