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Finding the Fourth Proportional to 9,499.60, 14,249.40 and 5,125.60

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Solution

The fourth proportional to 9,499.60, 14,249.40 and 5,125.60 is: 7,688.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,499.60 : 14,249.40 = 5,125.60 : x
  2. Step 2: Convert to fraction form
    9,499.60/14,249.40 = 5,125.60/x
  3. Step 3: Cross multiply
    9,499.60x = 14,249.40 × 5,125.60
  4. Step 4: Simplify right side
    9,499.60x = 73,036,724.64
  5. Step 5: Solve for x
    x = 73,036,724.64/9,499.60
  6. Step 6: Final answer
    x = 7,688.40

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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.