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Finding the Fourth Proportional to 9,192.58, 12,678.36 and 6,005.66

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Solution

The fourth proportional to 9,192.58, 12,678.36 and 6,005.66 is: 8,282.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,192.58 : 12,678.36 = 6,005.66 : x
  2. Step 2: Convert to fraction form
    9,192.58/12,678.36 = 6,005.66/x
  3. Step 3: Cross multiply
    9,192.58x = 12,678.36 × 6,005.66
  4. Step 4: Simplify right side
    9,192.58x = 76,141,919.52
  5. Step 5: Solve for x
    x = 76,141,919.52/9,192.58
  6. Step 6: Final answer
    x = 8,282.98

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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.