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Finding the Fourth Proportional to 9,838.98, 14,735.42 and 6,880.38

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Solution

The fourth proportional to 9,838.98, 14,735.42 and 6,880.38 is: 10,304.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,838.98 : 14,735.42 = 6,880.38 : x
  2. Step 2: Convert to fraction form
    9,838.98/14,735.42 = 6,880.38/x
  3. Step 3: Cross multiply
    9,838.98x = 14,735.42 × 6,880.38
  4. Step 4: Simplify right side
    9,838.98x = 101,385,254.66
  5. Step 5: Solve for x
    x = 101,385,254.66/9,838.98
  6. Step 6: Final answer
    x = 10,304.45

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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.