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Finding the Fourth Proportional to 9,766.63, 13,477.09 and 5,787.07

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Solution

The fourth proportional to 9,766.63, 13,477.09 and 5,787.07 is: 7,985.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,766.63 : 13,477.09 = 5,787.07 : x
  2. Step 2: Convert to fraction form
    9,766.63/13,477.09 = 5,787.07/x
  3. Step 3: Cross multiply
    9,766.63x = 13,477.09 × 5,787.07
  4. Step 4: Simplify right side
    9,766.63x = 77,992,863.23
  5. Step 5: Solve for x
    x = 77,992,863.23/9,766.63
  6. Step 6: Final answer
    x = 7,985.65

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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.