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Finding the Fourth Proportional to 9,775.90, 13,490.66 and 5,299.53

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Solution

The fourth proportional to 9,775.90, 13,490.66 and 5,299.53 is: 7,313.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.90 : 13,490.66 = 5,299.53 : x
  2. Step 2: Convert to fraction form
    9,775.90/13,490.66 = 5,299.53/x
  3. Step 3: Cross multiply
    9,775.90x = 13,490.66 × 5,299.53
  4. Step 4: Simplify right side
    9,775.90x = 71,494,218.97
  5. Step 5: Solve for x
    x = 71,494,218.97/9,775.90
  6. Step 6: Final answer
    x = 7,313.31

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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.