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Finding the Fourth Proportional to 9,828.02, 13,562.43 and 5,636

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Solution

The fourth proportional to 9,828.02, 13,562.43 and 5,636 is: 7,777.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,828.02 : 13,562.43 = 5,636 : x
  2. Step 2: Convert to fraction form
    9,828.02/13,562.43 = 5,636/x
  3. Step 3: Cross multiply
    9,828.02x = 13,562.43 × 5,636
  4. Step 4: Simplify right side
    9,828.02x = 76,437,855.48
  5. Step 5: Solve for x
    x = 76,437,855.48/9,828.02
  6. Step 6: Final answer
    x = 7,777.54

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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.