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Finding the Fourth Proportional to 10,905.78, 14,945.11 and 9,856.02

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Solution

The fourth proportional to 10,905.78, 14,945.11 and 9,856.02 is: 13,506.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,905.78 : 14,945.11 = 9,856.02 : x
  2. Step 2: Convert to fraction form
    10,905.78/14,945.11 = 9,856.02/x
  3. Step 3: Cross multiply
    10,905.78x = 14,945.11 × 9,856.02
  4. Step 4: Simplify right side
    10,905.78x = 147,299,303.06
  5. Step 5: Solve for x
    x = 147,299,303.06/10,905.78
  6. Step 6: Final answer
    x = 13,506.54

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.