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Finding the Fourth Proportional to 9,536.58, 13,154.67 and 6,306.39

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Solution

The fourth proportional to 9,536.58, 13,154.67 and 6,306.39 is: 8,698.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,536.58 : 13,154.67 = 6,306.39 : x
  2. Step 2: Convert to fraction form
    9,536.58/13,154.67 = 6,306.39/x
  3. Step 3: Cross multiply
    9,536.58x = 13,154.67 × 6,306.39
  4. Step 4: Simplify right side
    9,536.58x = 82,958,479.34
  5. Step 5: Solve for x
    x = 82,958,479.34/9,536.58
  6. Step 6: Final answer
    x = 8,698.98

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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.