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Finding the Fourth Proportional to 9,694.80, 14,546.40 and 6,578.40

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Solution

The fourth proportional to 9,694.80, 14,546.40 and 6,578.40 is: 9,870.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,694.80 : 14,546.40 = 6,578.40 : x
  2. Step 2: Convert to fraction form
    9,694.80/14,546.40 = 6,578.40/x
  3. Step 3: Cross multiply
    9,694.80x = 14,546.40 × 6,578.40
  4. Step 4: Simplify right side
    9,694.80x = 95,692,037.76
  5. Step 5: Solve for x
    x = 95,692,037.76/9,694.80
  6. Step 6: Final answer
    x = 9,870.45

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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.