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Finding the Fourth Proportional to 10,274.76, 14,171.22 and 6,689.16

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Solution

The fourth proportional to 10,274.76, 14,171.22 and 6,689.16 is: 9,225.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,274.76 : 14,171.22 = 6,689.16 : x
  2. Step 2: Convert to fraction form
    10,274.76/14,171.22 = 6,689.16/x
  3. Step 3: Cross multiply
    10,274.76x = 14,171.22 × 6,689.16
  4. Step 4: Simplify right side
    10,274.76x = 94,793,557.98
  5. Step 5: Solve for x
    x = 94,793,557.98/10,274.76
  6. Step 6: Final answer
    x = 9,225.87

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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.