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Finding the Fourth Proportional to 6,848.11, 9,451.62 and 6,536.47

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Solution

The fourth proportional to 6,848.11, 9,451.62 and 6,536.47 is: 9,021.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,848.11 : 9,451.62 = 6,536.47 : x
  2. Step 2: Convert to fraction form
    6,848.11/9,451.62 = 6,536.47/x
  3. Step 3: Cross multiply
    6,848.11x = 9,451.62 × 6,536.47
  4. Step 4: Simplify right side
    6,848.11x = 61,780,230.58
  5. Step 5: Solve for x
    x = 61,780,230.58/6,848.11
  6. Step 6: Final answer
    x = 9,021.50

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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.