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Finding the Fourth Proportional to 9,440.16, 13,029.48 and 5,905.68

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Solution

The fourth proportional to 9,440.16, 13,029.48 and 5,905.68 is: 8,151.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,440.16 : 13,029.48 = 5,905.68 : x
  2. Step 2: Convert to fraction form
    9,440.16/13,029.48 = 5,905.68/x
  3. Step 3: Cross multiply
    9,440.16x = 13,029.48 × 5,905.68
  4. Step 4: Simplify right side
    9,440.16x = 76,947,939.45
  5. Step 5: Solve for x
    x = 76,947,939.45/9,440.16
  6. Step 6: Final answer
    x = 8,151.13

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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.