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Finding the Fourth Proportional to 10,377.63, 15,621.84 and 9,306

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Solution

The fourth proportional to 10,377.63, 15,621.84 and 9,306 is: 14,008.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,377.63 : 15,621.84 = 9,306 : x
  2. Step 2: Convert to fraction form
    10,377.63/15,621.84 = 9,306/x
  3. Step 3: Cross multiply
    10,377.63x = 15,621.84 × 9,306
  4. Step 4: Simplify right side
    10,377.63x = 145,376,843.04
  5. Step 5: Solve for x
    x = 145,376,843.04/10,377.63
  6. Step 6: Final answer
    x = 14,008.67

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.