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Finding the Fourth Proportional to 9,674.62, 13,358.65 and 7,780.13

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Solution

The fourth proportional to 9,674.62, 13,358.65 and 7,780.13 is: 10,742.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.62 : 13,358.65 = 7,780.13 : x
  2. Step 2: Convert to fraction form
    9,674.62/13,358.65 = 7,780.13/x
  3. Step 3: Cross multiply
    9,674.62x = 13,358.65 × 7,780.13
  4. Step 4: Simplify right side
    9,674.62x = 103,932,033.62
  5. Step 5: Solve for x
    x = 103,932,033.62/9,674.62
  6. Step 6: Final answer
    x = 10,742.75

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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.