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Finding the Fourth Proportional to 9,333.43, 12,896.53 and 7,460.48

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Solution

The fourth proportional to 9,333.43, 12,896.53 and 7,460.48 is: 10,308.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,333.43 : 12,896.53 = 7,460.48 : x
  2. Step 2: Convert to fraction form
    9,333.43/12,896.53 = 7,460.48/x
  3. Step 3: Cross multiply
    9,333.43x = 12,896.53 × 7,460.48
  4. Step 4: Simplify right side
    9,333.43x = 96,214,317.72
  5. Step 5: Solve for x
    x = 96,214,317.72/9,333.43
  6. Step 6: Final answer
    x = 10,308.57

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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.