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Finding the Fourth Proportional to 9,225.42, 13,840.50 and 2,652.12

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Solution

The fourth proportional to 9,225.42, 13,840.50 and 2,652.12 is: 3,978.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,225.42 : 13,840.50 = 2,652.12 : x
  2. Step 2: Convert to fraction form
    9,225.42/13,840.50 = 2,652.12/x
  3. Step 3: Cross multiply
    9,225.42x = 13,840.50 × 2,652.12
  4. Step 4: Simplify right side
    9,225.42x = 36,706,666.86
  5. Step 5: Solve for x
    x = 36,706,666.86/9,225.42
  6. Step 6: Final answer
    x = 3,978.86

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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.