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Finding the Fourth Proportional to 9,775.68, 13,490.35 and 5,299.44

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Solution

The fourth proportional to 9,775.68, 13,490.35 and 5,299.44 is: 7,313.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.68 : 13,490.35 = 5,299.44 : x
  2. Step 2: Convert to fraction form
    9,775.68/13,490.35 = 5,299.44/x
  3. Step 3: Cross multiply
    9,775.68x = 13,490.35 × 5,299.44
  4. Step 4: Simplify right side
    9,775.68x = 71,491,300.40
  5. Step 5: Solve for x
    x = 71,491,300.40/9,775.68
  6. Step 6: Final answer
    x = 7,313.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.