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Finding the Fourth Proportional to 8,436.61, 12,653.73 and 4,638.44

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Solution

The fourth proportional to 8,436.61, 12,653.73 and 4,638.44 is: 6,957.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,436.61 : 12,653.73 = 4,638.44 : x
  2. Step 2: Convert to fraction form
    8,436.61/12,653.73 = 4,638.44/x
  3. Step 3: Cross multiply
    8,436.61x = 12,653.73 × 4,638.44
  4. Step 4: Simplify right side
    8,436.61x = 58,693,567.38
  5. Step 5: Solve for x
    x = 58,693,567.38/8,436.61
  6. Step 6: Final answer
    x = 6,957.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.