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Finding the Fourth Proportional to 6,147.42, 9,220.32 and 5,113.86

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Solution

The fourth proportional to 6,147.42, 9,220.32 and 5,113.86 is: 7,670.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147.42 : 9,220.32 = 5,113.86 : x
  2. Step 2: Convert to fraction form
    6,147.42/9,220.32 = 5,113.86/x
  3. Step 3: Cross multiply
    6,147.42x = 9,220.32 × 5,113.86
  4. Step 4: Simplify right side
    6,147.42x = 47,151,425.64
  5. Step 5: Solve for x
    x = 47,151,425.64/6,147.42
  6. Step 6: Final answer
    x = 7,670.12

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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.