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Finding the Fourth Proportional to 9,635.60, 14,446.40 and 6,507.86

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Solution

The fourth proportional to 9,635.60, 14,446.40 and 6,507.86 is: 9,757.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,635.60 : 14,446.40 = 6,507.86 : x
  2. Step 2: Convert to fraction form
    9,635.60/14,446.40 = 6,507.86/x
  3. Step 3: Cross multiply
    9,635.60x = 14,446.40 × 6,507.86
  4. Step 4: Simplify right side
    9,635.60x = 94,015,043.93
  5. Step 5: Solve for x
    x = 94,015,043.93/9,635.60
  6. Step 6: Final answer
    x = 9,757.05

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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.