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Finding the Fourth Proportional to 10,384.64, 14,330.22 and 5,909.48

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Solution

The fourth proportional to 10,384.64, 14,330.22 and 5,909.48 is: 8,154.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,384.64 : 14,330.22 = 5,909.48 : x
  2. Step 2: Convert to fraction form
    10,384.64/14,330.22 = 5,909.48/x
  3. Step 3: Cross multiply
    10,384.64x = 14,330.22 × 5,909.48
  4. Step 4: Simplify right side
    10,384.64x = 84,684,148.49
  5. Step 5: Solve for x
    x = 84,684,148.49/10,384.64
  6. Step 6: Final answer
    x = 8,154.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.