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Finding the Fourth Proportional to 6,334.60, 9,507.30 and 5,103.40

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Solution

The fourth proportional to 6,334.60, 9,507.30 and 5,103.40 is: 7,659.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,334.60 : 9,507.30 = 5,103.40 : x
  2. Step 2: Convert to fraction form
    6,334.60/9,507.30 = 5,103.40/x
  3. Step 3: Cross multiply
    6,334.60x = 9,507.30 × 5,103.40
  4. Step 4: Simplify right side
    6,334.60x = 48,519,554.82
  5. Step 5: Solve for x
    x = 48,519,554.82/6,334.60
  6. Step 6: Final answer
    x = 7,659.45

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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.