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Finding the Fourth Proportional to 9,825.37, 13,558.93 and 5,349.12

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Solution

The fourth proportional to 9,825.37, 13,558.93 and 5,349.12 is: 7,381.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,825.37 : 13,558.93 = 5,349.12 : x
  2. Step 2: Convert to fraction form
    9,825.37/13,558.93 = 5,349.12/x
  3. Step 3: Cross multiply
    9,825.37x = 13,558.93 × 5,349.12
  4. Step 4: Simplify right side
    9,825.37x = 72,528,289.22
  5. Step 5: Solve for x
    x = 72,528,289.22/9,825.37
  6. Step 6: Final answer
    x = 7,381.73

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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.