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Finding the Fourth Proportional to 9,730.37, 13,427.93 and 5,753.45

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Solution

The fourth proportional to 9,730.37, 13,427.93 and 5,753.45 is: 7,939.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,730.37 : 13,427.93 = 5,753.45 : x
  2. Step 2: Convert to fraction form
    9,730.37/13,427.93 = 5,753.45/x
  3. Step 3: Cross multiply
    9,730.37x = 13,427.93 × 5,753.45
  4. Step 4: Simplify right side
    9,730.37x = 77,256,923.86
  5. Step 5: Solve for x
    x = 77,256,923.86/9,730.37
  6. Step 6: Final answer
    x = 7,939.77

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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.