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Finding the Fourth Proportional to 10,096.96, 13,945.47 and 6,733.93

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Solution

The fourth proportional to 10,096.96, 13,945.47 and 6,733.93 is: 9,300.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,096.96 : 13,945.47 = 6,733.93 : x
  2. Step 2: Convert to fraction form
    10,096.96/13,945.47 = 6,733.93/x
  3. Step 3: Cross multiply
    10,096.96x = 13,945.47 × 6,733.93
  4. Step 4: Simplify right side
    10,096.96x = 93,907,741.25
  5. Step 5: Solve for x
    x = 93,907,741.25/10,096.96
  6. Step 6: Final answer
    x = 9,300.60

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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.