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Finding the Fourth Proportional to 8,635.40, 12,953.09 and 6,175.02

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Solution

The fourth proportional to 8,635.40, 12,953.09 and 6,175.02 is: 9,262.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,635.40 : 12,953.09 = 6,175.02 : x
  2. Step 2: Convert to fraction form
    8,635.40/12,953.09 = 6,175.02/x
  3. Step 3: Cross multiply
    8,635.40x = 12,953.09 × 6,175.02
  4. Step 4: Simplify right side
    8,635.40x = 79,985,589.81
  5. Step 5: Solve for x
    x = 79,985,589.81/8,635.40
  6. Step 6: Final answer
    x = 9,262.52

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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.