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Finding the Fourth Proportional to 7,909.32, 11,846.16 and 6,140.24

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Solution

The fourth proportional to 7,909.32, 11,846.16 and 6,140.24 is: 9,196.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,909.32 : 11,846.16 = 6,140.24 : x
  2. Step 2: Convert to fraction form
    7,909.32/11,846.16 = 6,140.24/x
  3. Step 3: Cross multiply
    7,909.32x = 11,846.16 × 6,140.24
  4. Step 4: Simplify right side
    7,909.32x = 72,738,265.48
  5. Step 5: Solve for x
    x = 72,738,265.48/7,909.32
  6. Step 6: Final answer
    x = 9,196.53

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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.