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Finding the Fourth Proportional to 6,499.45, 9,750.78 and 1,882.45

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Solution

The fourth proportional to 6,499.45, 9,750.78 and 1,882.45 is: 2,824.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,499.45 : 9,750.78 = 1,882.45 : x
  2. Step 2: Convert to fraction form
    6,499.45/9,750.78 = 1,882.45/x
  3. Step 3: Cross multiply
    6,499.45x = 9,750.78 × 1,882.45
  4. Step 4: Simplify right side
    6,499.45x = 18,355,307.06
  5. Step 5: Solve for x
    x = 18,355,307.06/6,499.45
  6. Step 6: Final answer
    x = 2,824.13

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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.