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Finding the Fourth Proportional to 9,880.40, 13,638.72 and 6,740.84

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Solution

The fourth proportional to 9,880.40, 13,638.72 and 6,740.84 is: 9,304.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,880.40 : 13,638.72 = 6,740.84 : x
  2. Step 2: Convert to fraction form
    9,880.40/13,638.72 = 6,740.84/x
  3. Step 3: Cross multiply
    9,880.40x = 13,638.72 × 6,740.84
  4. Step 4: Simplify right side
    9,880.40x = 91,936,429.32
  5. Step 5: Solve for x
    x = 91,936,429.32/9,880.40
  6. Step 6: Final answer
    x = 9,304.93

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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.