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Finding the Fourth Proportional to 10,929.17, 16,381.34 and 9,610.37

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Solution

The fourth proportional to 10,929.17, 16,381.34 and 9,610.37 is: 14,404.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,929.17 : 16,381.34 = 9,610.37 : x
  2. Step 2: Convert to fraction form
    10,929.17/16,381.34 = 9,610.37/x
  3. Step 3: Cross multiply
    10,929.17x = 16,381.34 × 9,610.37
  4. Step 4: Simplify right side
    10,929.17x = 157,430,738.50
  5. Step 5: Solve for x
    x = 157,430,738.50/10,929.17
  6. Step 6: Final answer
    x = 14,404.64

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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.