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Finding the Fourth Proportional to 9,827.88, 13,562.54 and 5,636.13

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Solution

The fourth proportional to 9,827.88, 13,562.54 and 5,636.13 is: 7,777.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,827.88 : 13,562.54 = 5,636.13 : x
  2. Step 2: Convert to fraction form
    9,827.88/13,562.54 = 5,636.13/x
  3. Step 3: Cross multiply
    9,827.88x = 13,562.54 × 5,636.13
  4. Step 4: Simplify right side
    9,827.88x = 76,440,238.57
  5. Step 5: Solve for x
    x = 76,440,238.57/9,827.88
  6. Step 6: Final answer
    x = 7,777.90

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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.