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Finding the Fourth Proportional to 9,787.07, 13,506.06 and 5,310.80

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Solution

The fourth proportional to 9,787.07, 13,506.06 and 5,310.80 is: 7,328.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,787.07 : 13,506.06 = 5,310.80 : x
  2. Step 2: Convert to fraction form
    9,787.07/13,506.06 = 5,310.80/x
  3. Step 3: Cross multiply
    9,787.07x = 13,506.06 × 5,310.80
  4. Step 4: Simplify right side
    9,787.07x = 71,727,915.92
  5. Step 5: Solve for x
    x = 71,727,915.92/9,787.07
  6. Step 6: Final answer
    x = 7,328.85

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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.