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Finding the Fourth Proportional to 9,797.40, 14,696.14 and 4,865.88

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Solution

The fourth proportional to 9,797.40, 14,696.14 and 4,865.88 is: 7,298.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.40 : 14,696.14 = 4,865.88 : x
  2. Step 2: Convert to fraction form
    9,797.40/14,696.14 = 4,865.88/x
  3. Step 3: Cross multiply
    9,797.40x = 14,696.14 × 4,865.88
  4. Step 4: Simplify right side
    9,797.40x = 71,509,653.70
  5. Step 5: Solve for x
    x = 71,509,653.70/9,797.40
  6. Step 6: Final answer
    x = 7,298.84

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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.