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Finding the Fourth Proportional to 9,499.87, 14,248.14 and 2,572.75

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Solution

The fourth proportional to 9,499.87, 14,248.14 and 2,572.75 is: 3,858.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,499.87 : 14,248.14 = 2,572.75 : x
  2. Step 2: Convert to fraction form
    9,499.87/14,248.14 = 2,572.75/x
  3. Step 3: Cross multiply
    9,499.87x = 14,248.14 × 2,572.75
  4. Step 4: Simplify right side
    9,499.87x = 36,656,902.19
  5. Step 5: Solve for x
    x = 36,656,902.19/9,499.87
  6. Step 6: Final answer
    x = 3,858.67

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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.