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Finding the Fourth Proportional to 9,515.69, 14,274.98 and 6,902.91

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Solution

The fourth proportional to 9,515.69, 14,274.98 and 6,902.91 is: 10,355.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,515.69 : 14,274.98 = 6,902.91 : x
  2. Step 2: Convert to fraction form
    9,515.69/14,274.98 = 6,902.91/x
  3. Step 3: Cross multiply
    9,515.69x = 14,274.98 × 6,902.91
  4. Step 4: Simplify right side
    9,515.69x = 98,538,946.80
  5. Step 5: Solve for x
    x = 98,538,946.80/9,515.69
  6. Step 6: Final answer
    x = 10,355.42

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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.