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Finding the Fourth Proportional to 9,807.37, 13,533.83 and 5,614.81

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Solution

The fourth proportional to 9,807.37, 13,533.83 and 5,614.81 is: 7,748.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.37 : 13,533.83 = 5,614.81 : x
  2. Step 2: Convert to fraction form
    9,807.37/13,533.83 = 5,614.81/x
  3. Step 3: Cross multiply
    9,807.37x = 13,533.83 × 5,614.81
  4. Step 4: Simplify right side
    9,807.37x = 75,989,816.35
  5. Step 5: Solve for x
    x = 75,989,816.35/9,807.37
  6. Step 6: Final answer
    x = 7,748.24

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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.