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Finding the Fourth Proportional to 9,817.20, 14,696.87 and 6,479.29

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Solution

The fourth proportional to 9,817.20, 14,696.87 and 6,479.29 is: 9,699.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,817.20 : 14,696.87 = 6,479.29 : x
  2. Step 2: Convert to fraction form
    9,817.20/14,696.87 = 6,479.29/x
  3. Step 3: Cross multiply
    9,817.20x = 14,696.87 × 6,479.29
  4. Step 4: Simplify right side
    9,817.20x = 95,225,287.02
  5. Step 5: Solve for x
    x = 95,225,287.02/9,817.20
  6. Step 6: Final answer
    x = 9,699.84

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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.