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Finding the Fourth Proportional to 9,815.47, 14,715.46 and 4,882.42

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Solution

The fourth proportional to 9,815.47, 14,715.46 and 4,882.42 is: 7,319.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,815.47 : 14,715.46 = 4,882.42 : x
  2. Step 2: Convert to fraction form
    9,815.47/14,715.46 = 4,882.42/x
  3. Step 3: Cross multiply
    9,815.47x = 14,715.46 × 4,882.42
  4. Step 4: Simplify right side
    9,815.47x = 71,846,958.22
  5. Step 5: Solve for x
    x = 71,846,958.22/9,815.47
  6. Step 6: Final answer
    x = 7,319.77

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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.