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Finding the Fourth Proportional to 10,423.44, 15,708.39 and 9,384.63

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Solution

The fourth proportional to 10,423.44, 15,708.39 and 9,384.63 is: 14,142.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,423.44 : 15,708.39 = 9,384.63 : x
  2. Step 2: Convert to fraction form
    10,423.44/15,708.39 = 9,384.63/x
  3. Step 3: Cross multiply
    10,423.44x = 15,708.39 × 9,384.63
  4. Step 4: Simplify right side
    10,423.44x = 147,417,428.05
  5. Step 5: Solve for x
    x = 147,417,428.05/10,423.44
  6. Step 6: Final answer
    x = 14,142.88

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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.