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Finding the Fourth Proportional to 9,132.37, 13,697.03 and 3,210.05

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Solution

The fourth proportional to 9,132.37, 13,697.03 and 3,210.05 is: 4,814.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,132.37 : 13,697.03 = 3,210.05 : x
  2. Step 2: Convert to fraction form
    9,132.37/13,697.03 = 3,210.05/x
  3. Step 3: Cross multiply
    9,132.37x = 13,697.03 × 3,210.05
  4. Step 4: Simplify right side
    9,132.37x = 43,968,193.42
  5. Step 5: Solve for x
    x = 43,968,193.42/9,132.37
  6. Step 6: Final answer
    x = 4,814.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.