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Finding the Fourth Proportional to 9,563.84, 13,193.44 and 6,207.20

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Solution

The fourth proportional to 9,563.84, 13,193.44 and 6,207.20 is: 8,562.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,563.84 : 13,193.44 = 6,207.20 : x
  2. Step 2: Convert to fraction form
    9,563.84/13,193.44 = 6,207.20/x
  3. Step 3: Cross multiply
    9,563.84x = 13,193.44 × 6,207.20
  4. Step 4: Simplify right side
    9,563.84x = 81,894,320.77
  5. Step 5: Solve for x
    x = 81,894,320.77/9,563.84
  6. Step 6: Final answer
    x = 8,562.91

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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.