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Finding the Fourth Proportional to 9,384.56, 14,063.68 and 7,295

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Solution

The fourth proportional to 9,384.56, 14,063.68 and 7,295 is: 10,932.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384.56 : 14,063.68 = 7,295 : x
  2. Step 2: Convert to fraction form
    9,384.56/14,063.68 = 7,295/x
  3. Step 3: Cross multiply
    9,384.56x = 14,063.68 × 7,295
  4. Step 4: Simplify right side
    9,384.56x = 102,594,545.60
  5. Step 5: Solve for x
    x = 102,594,545.60/9,384.56
  6. Step 6: Final answer
    x = 10,932.27

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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.