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Finding the Fourth Proportional to 10,421.34, 14,388.14 and 9,300.34

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Solution

The fourth proportional to 10,421.34, 14,388.14 and 9,300.34 is: 12,840.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,421.34 : 14,388.14 = 9,300.34 : x
  2. Step 2: Convert to fraction form
    10,421.34/14,388.14 = 9,300.34/x
  3. Step 3: Cross multiply
    10,421.34x = 14,388.14 × 9,300.34
  4. Step 4: Simplify right side
    10,421.34x = 133,814,593.97
  5. Step 5: Solve for x
    x = 133,814,593.97/10,421.34
  6. Step 6: Final answer
    x = 12,840.44

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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.