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Finding the Fourth Proportional to 10,274.64, 14,175.21 and 6,742.65

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Solution

The fourth proportional to 10,274.64, 14,175.21 and 6,742.65 is: 9,302.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,274.64 : 14,175.21 = 6,742.65 : x
  2. Step 2: Convert to fraction form
    10,274.64/14,175.21 = 6,742.65/x
  3. Step 3: Cross multiply
    10,274.64x = 14,175.21 × 6,742.65
  4. Step 4: Simplify right side
    10,274.64x = 95,578,479.71
  5. Step 5: Solve for x
    x = 95,578,479.71/10,274.64
  6. Step 6: Final answer
    x = 9,302.37

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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.