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Finding the Fourth Proportional to 9,203.84, 12,686.13 and 6,511.62

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Solution

The fourth proportional to 9,203.84, 12,686.13 and 6,511.62 is: 8,975.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,203.84 : 12,686.13 = 6,511.62 : x
  2. Step 2: Convert to fraction form
    9,203.84/12,686.13 = 6,511.62/x
  3. Step 3: Cross multiply
    9,203.84x = 12,686.13 × 6,511.62
  4. Step 4: Simplify right side
    9,203.84x = 82,607,257.83
  5. Step 5: Solve for x
    x = 82,607,257.83/9,203.84
  6. Step 6: Final answer
    x = 8,975.31

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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.